Actually it appears that he did make some of them exact.
But they are not exact.
As I pointed out, " The moon and the sun's most commonly published diameter measurements in miles are 2,160 and 864,000 respectively which equals a ratio of exactly 400.00."
The diameters you've given are rounded, thereby giving a rounded result. Even more precise figures are mean (thus evening out the variations).
And I wrote that, " according to the World Almanac and many other reference works, 'our sun is 400,000 times as bright as the full moon.' Amazingly, this brightness magnitude ratio of four hundred thousand appears to be an exact, or virtually exact, number."
Again, this figure is an approximation - not exact. It is APPARENT magnitude and the logarithmic calculation for the Sun's brightness ratio involves the Moon's MEAN apparent magnitude (i.e. the Moon's magnitude varies). The Sun is ABOUT (not exactly) 400,000 times brighter than the Moon as seen from Earth.
God could have certainly designed every one of these 400s to be an exact number. But then we would all be forced to acknowledge his existence and our obligation to serve him right now. But that would defeat God's own stated purpose. For the Bible tells us that God has chosen to save that time, a time when "every knee will bend" to him, for Judgment Day.
Hold on, you gave these numerological connections as evidence for God's existence. You suggested that God made and positioned the Moon as He did, when He did, deliberately, to be meaningful to humans now ... so that they could see all these 'coincidences' and discern they are evidences for His existence. That was where you were going, right? If these number connections are not exact and God never meant them to be used to convince people, why are you using them that way?
[To Cofty] The reason I referenced Knight and Butlers book, Who Built The Moon?, is not because I found all of their arguments that the moon must have been inteligently designed to be convincing. I referenced their book to show that even some atheists believe that the moon must have been inteligently designed, due mainly to the 400s which all astronomers admit appear readily to their minds every time they see a solar eclipse. Those are the same points that I find most compelleng. 400 X diameter + 400 X distance produces solar elipses. Which appear on average over any one spot on earth "about every 400 years." That along with the sun and full moon's relative brightness, a virtually exact 400,000 figure. These things taken together with the Bible's frequently using the numbers 4, 40 and 400 in symbolic reference to Christ. .... And Bible chronology indicating that exactly 4,000 years passed between Adam and Christ.
It does little to give credibility to the pro-God argument if the atheists you quote believe time-travelling humans built the Moon! 
I also cannot trace your other '400s' detail (in bold) about total solar eclipses appearing on average (there's that 'mean' concept again) every 400 years over any one spot on Earth. The book you referenced says on p. 4,
"... in any given location on Earth a total eclipse will only happen once every 360 years."
The same page cited the 1999 total eclipse. Checking on NASA's eclipse calculator, I found that from the 16th to 28th centuries, Cornwall UK will have had 8 total solar eclipses with erratic spacing between them ranging from 32 to 411 years, which averages out at about 1 every 161 years. So, where did you get your '400' figure from?
