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Finding the Fourth Proportional to 515.92, 773.22 and 458.08

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Solution

The fourth proportional to 515.92, 773.22 and 458.08 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.92 : 773.22 = 458.08 : x
  2. Step 2: Convert to fraction form
    515.92/773.22 = 458.08/x
  3. Step 3: Cross multiply
    515.92x = 773.22 × 458.08
  4. Step 4: Simplify right side
    515.92x = 354,196.62
  5. Step 5: Solve for x
    x = 354,196.62/515.92
  6. Step 6: Final answer
    x = 686.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.