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Finding the Fourth Proportional to 724.16, 999.32 and 409.42

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Solution

The fourth proportional to 724.16, 999.32 and 409.42 is: 564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 999.32 = 409.42 : x
  2. Step 2: Convert to fraction form
    724.16/999.32 = 409.42/x
  3. Step 3: Cross multiply
    724.16x = 999.32 × 409.42
  4. Step 4: Simplify right side
    724.16x = 409,142.62
  5. Step 5: Solve for x
    x = 409,142.62/724.16
  6. Step 6: Final answer
    x = 564.99

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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.