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Finding the Fourth Proportional to 724.02, 999.10 and 409.29

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Solution

The fourth proportional to 724.02, 999.10 and 409.29 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.02 : 999.10 = 409.29 : x
  2. Step 2: Convert to fraction form
    724.02/999.10 = 409.29/x
  3. Step 3: Cross multiply
    724.02x = 999.10 × 409.29
  4. Step 4: Simplify right side
    724.02x = 408,921.64
  5. Step 5: Solve for x
    x = 408,921.64/724.02
  6. Step 6: Final answer
    x = 564.79

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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.