Finding the Fourth Proportional to 398.16, 597.24 and 170
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Solution
The fourth proportional to 398.16, 597.24 and 170 is: 255
Step by Step Solution
- Step 1: Write the proportion equation
398.16 : 597.24 = 170 : x - Step 2: Convert to fraction form
398.16/597.24 = 170/x - Step 3: Cross multiply
398.16x = 597.24 × 170 - Step 4: Simplify right side
398.16x = 101,530.80 - Step 5: Solve for x
x = 101,530.80/398.16 - Step 6: Final answer
x = 255
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.