For those who aren't up to speed with maths, (like me), I use Frank Krenshaws' Scalecalc 2.5, as discussed here: http://cs.finescale.com/fsm/modeling_subjects/f/2/p/75512/745686.aspx#745686
1/400 to 1/350 is a 114.3% enlargement, (set your /graphics program/printer/copier to 114.3% enlargement)
To get a repeat printable from a scan, I 'print' the existing graphic to an output PDF file, using the print out options eg 114.3% enlargement.
Therafter I use the abobe output.pdf file at 100% print in future.
in RFW's example, 10 5/8", & 1 1/4" is decimal 10.625" & 1.25" (online fraction converter used)
10.625 inches vs. 155 Metres gives a Ratio of 574.34:1
1.25" vs. 18.7M gives a ratio of 588.98:1 .... ho.hum... the perils of working with very small pics.
If you haven't already chopped up the JSC paper model book, I'd scan that & reprint in 1/350, as the parts are more likely to fit...