Answer:
450.
Step-by-step explanation:
The given equation is
[tex]\dfrac{150}{170}=\dfrac{x}{510}[/tex]
We need to solve the proportion to find the value of x.
Multiply both sides by 510, to isolate x on one side.
[tex]\dfrac{150}{170}\times 510=\dfrac{x}{510}\times 510[/tex]
Cancel out common factors.
[tex]150\times 3=x[/tex]
[tex]450=x[/tex]
On interchanging the sides, we get
[tex]x=450[/tex]
Therefore, the value of x is 450.
