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Finding the Fourth Proportional to 724.38, 999.35 and 444.13

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Solution

The fourth proportional to 724.38, 999.35 and 444.13 is: 612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 999.35 = 444.13 : x
  2. Step 2: Convert to fraction form
    724.38/999.35 = 444.13/x
  3. Step 3: Cross multiply
    724.38x = 999.35 × 444.13
  4. Step 4: Simplify right side
    724.38x = 443,836.60
  5. Step 5: Solve for x
    x = 443,836.60/724.38
  6. Step 6: Final answer
    x = 612.71

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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.