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Finding the Fourth Proportional to 724.07, 999.15 and 409.31

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Solution

The fourth proportional to 724.07, 999.15 and 409.31 is: 564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.07 : 999.15 = 409.31 : x
  2. Step 2: Convert to fraction form
    724.07/999.15 = 409.31/x
  3. Step 3: Cross multiply
    724.07x = 999.15 × 409.31
  4. Step 4: Simplify right side
    724.07x = 408,962.09
  5. Step 5: Solve for x
    x = 408,962.09/724.07
  6. Step 6: Final answer
    x = 564.81

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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.