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Finding the Fourth Proportional to 724.05, 999.11 and 409.33

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Solution

The fourth proportional to 724.05, 999.11 and 409.33 is: 564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.05 : 999.11 = 409.33 : x
  2. Step 2: Convert to fraction form
    724.05/999.11 = 409.33/x
  3. Step 3: Cross multiply
    724.05x = 999.11 × 409.33
  4. Step 4: Simplify right side
    724.05x = 408,965.70
  5. Step 5: Solve for x
    x = 408,965.70/724.05
  6. Step 6: Final answer
    x = 564.83

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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.