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Finding the Fourth Proportional to 724.24, 999.30 and 461.80

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Solution

The fourth proportional to 724.24, 999.30 and 461.80 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.24 : 999.30 = 461.80 : x
  2. Step 2: Convert to fraction form
    724.24/999.30 = 461.80/x
  3. Step 3: Cross multiply
    724.24x = 999.30 × 461.80
  4. Step 4: Simplify right side
    724.24x = 461,476.74
  5. Step 5: Solve for x
    x = 461,476.74/724.24
  6. Step 6: Final answer
    x = 637.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.