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400\times \frac{4}{19}=k
Multiply both sides by \frac{4}{19}, the reciprocal of \frac{19}{4}.
\frac{400\times 4}{19}=k
Express 400\times \frac{4}{19} as a single fraction.
\frac{1600}{19}=k
Multiply 400 and 4 to get 1600.
k=\frac{1600}{19}
Swap sides so that all variable terms are on the left hand side.