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Finding the Fourth Proportional to 724.20, 999.49 and 409.48

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Solution

The fourth proportional to 724.20, 999.49 and 409.48 is: 565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.20 : 999.49 = 409.48 : x
  2. Step 2: Convert to fraction form
    724.20/999.49 = 409.48/x
  3. Step 3: Cross multiply
    724.20x = 999.49 × 409.48
  4. Step 4: Simplify right side
    724.20x = 409,272.93
  5. Step 5: Solve for x
    x = 409,272.93/724.20
  6. Step 6: Final answer
    x = 565.14

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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.