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Finding the Fourth Proportional to 624.87, 938.12 and 420.35

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Solution

The fourth proportional to 624.87, 938.12 and 420.35 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.87 : 938.12 = 420.35 : x
  2. Step 2: Convert to fraction form
    624.87/938.12 = 420.35/x
  3. Step 3: Cross multiply
    624.87x = 938.12 × 420.35
  4. Step 4: Simplify right side
    624.87x = 394,331.95
  5. Step 5: Solve for x
    x = 394,331.95/624.87
  6. Step 6: Final answer
    x = 631.06

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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.