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Finding the Fourth Proportional to 501.32, 691.17 and 417.29

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Solution

The fourth proportional to 501.32, 691.17 and 417.29 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.32 : 691.17 = 417.29 : x
  2. Step 2: Convert to fraction form
    501.32/691.17 = 417.29/x
  3. Step 3: Cross multiply
    501.32x = 691.17 × 417.29
  4. Step 4: Simplify right side
    501.32x = 288,414.87
  5. Step 5: Solve for x
    x = 288,414.87/501.32
  6. Step 6: Final answer
    x = 575.32

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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.