ΔE 22.2, loose: different enough that you should pick on purpose. Rust Orange is noticeably darker, more saturated than Raging Rouge.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Rust Orange is noticeably darker, more saturated than Raging Rouge.
The same difference applies the other way round: Raging Rouge is noticeably lighter, more muted.
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 Raging Rouge on the colour wheel See Rust Orange on the colour wheel
All matches: Raging Rouge equivalents · Rust Orange equivalents