ΔE 38.3, loose: different enough that you should pick on purpose. Ruby Red is a little lighter, much more saturated, cooler than Ancient Bronze.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 38). Ruby Red is a little lighter, much more saturated, cooler than Ancient Bronze.
The same difference applies the other way round: Ancient Bronze is a little darker, much more muted, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Ancient Bronze on the colour wheel See Ruby Red on the colour wheel
All matches: Ancient Bronze equivalents · Ruby Red equivalents