For mutually exclusive events $R_1,R_2,$ and $R_3,$ we have $P(R_1)=0\mathrm{.}05,P(R_2)=0\mathrm{.}6,$ and $P(R_3)=0\mathrm{.}35.$ Also, $P(Q|R_1)=0\mathrm{.}5,P(Q|R_2)=0\mathrm{.}4,$ and $P(Q|R_3)=0\mathrm{.}6.$ Find $P(R_3|Q).$

$P(R_3|Q)=$

$($Type an integer or a simplified fraction.$)$