Finding the Fourth Proportional to 492.53, 680.17 and 417.14
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Solution
The fourth proportional to 492.53, 680.17 and 417.14 is: 576.07
Step by Step Solution
- Step 1: Write the proportion equation
492.53 : 680.17 = 417.14 : x - Step 2: Convert to fraction form
492.53/680.17 = 417.14/x - Step 3: Cross multiply
492.53x = 680.17 × 417.14 - Step 4: Simplify right side
492.53x = 283,726.77 - Step 5: Solve for x
x = 283,726.77/492.53 - Step 6: Final answer
x = 576.07
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.