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Finding the Fourth Proportional to 500.49, 686.96 and 458.96

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Solution

The fourth proportional to 500.49, 686.96 and 458.96 is: 629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.49 : 686.96 = 458.96 : x
  2. Step 2: Convert to fraction form
    500.49/686.96 = 458.96/x
  3. Step 3: Cross multiply
    500.49x = 686.96 × 458.96
  4. Step 4: Simplify right side
    500.49x = 315,281.43
  5. Step 5: Solve for x
    x = 315,281.43/500.49
  6. Step 6: Final answer
    x = 629.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.