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Finding the Fourth Proportional to 724.90, 999.36 and 459.20

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Solution

The fourth proportional to 724.90, 999.36 and 459.20 is: 633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.90 : 999.36 = 459.20 : x
  2. Step 2: Convert to fraction form
    724.90/999.36 = 459.20/x
  3. Step 3: Cross multiply
    724.90x = 999.36 × 459.20
  4. Step 4: Simplify right side
    724.90x = 458,906.11
  5. Step 5: Solve for x
    x = 458,906.11/724.90
  6. Step 6: Final answer
    x = 633.06

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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.