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Finding the Fourth Proportional to 624.90, 862.41 and 477.28

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Solution

The fourth proportional to 624.90, 862.41 and 477.28 is: 658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.90 : 862.41 = 477.28 : x
  2. Step 2: Convert to fraction form
    624.90/862.41 = 477.28/x
  3. Step 3: Cross multiply
    624.90x = 862.41 × 477.28
  4. Step 4: Simplify right side
    624.90x = 411,611.04
  5. Step 5: Solve for x
    x = 411,611.04/624.90
  6. Step 6: Final answer
    x = 658.68

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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.