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Finding the Fourth Proportional to 624.20, 937.20 and 442.76

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Solution

The fourth proportional to 624.20, 937.20 and 442.76 is: 664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.20 : 937.20 = 442.76 : x
  2. Step 2: Convert to fraction form
    624.20/937.20 = 442.76/x
  3. Step 3: Cross multiply
    624.20x = 937.20 × 442.76
  4. Step 4: Simplify right side
    624.20x = 414,954.67
  5. Step 5: Solve for x
    x = 414,954.67/624.20
  6. Step 6: Final answer
    x = 664.78

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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.