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Finding the Fourth Proportional to 624.39, 861.24 and 476.78

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Solution

The fourth proportional to 624.39, 861.24 and 476.78 is: 657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.39 : 861.24 = 476.78 : x
  2. Step 2: Convert to fraction form
    624.39/861.24 = 476.78/x
  3. Step 3: Cross multiply
    624.39x = 861.24 × 476.78
  4. Step 4: Simplify right side
    624.39x = 410,617.70
  5. Step 5: Solve for x
    x = 410,617.70/624.39
  6. Step 6: Final answer
    x = 657.63

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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.