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Finding the Fourth Proportional to 724.12, 999.45 and 462.10

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Solution

The fourth proportional to 724.12, 999.45 and 462.10 is: 637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.12 : 999.45 = 462.10 : x
  2. Step 2: Convert to fraction form
    724.12/999.45 = 462.10/x
  3. Step 3: Cross multiply
    724.12x = 999.45 × 462.10
  4. Step 4: Simplify right side
    724.12x = 461,845.85
  5. Step 5: Solve for x
    x = 461,845.85/724.12
  6. Step 6: Final answer
    x = 637.80

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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.