ΔE 40.1, loose: different enough that you should pick on purpose. Ruby Red is noticeably lighter, much more saturated, cooler than Spartan Bronze.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 40). Ruby Red is noticeably lighter, much more saturated, cooler than Spartan Bronze.
The same difference applies the other way round: Spartan Bronze is noticeably 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 Spartan Bronze on the colour wheel See Ruby Red on the colour wheel
All matches: Spartan Bronze equivalents · Ruby Red equivalents