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Finding the Fourth Proportional to 724.50, 998.42 and 462.06

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Solution

The fourth proportional to 724.50, 998.42 and 462.06 is: 636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 998.42 = 462.06 : x
  2. Step 2: Convert to fraction form
    724.50/998.42 = 462.06/x
  3. Step 3: Cross multiply
    724.50x = 998.42 × 462.06
  4. Step 4: Simplify right side
    724.50x = 461,327.63
  5. Step 5: Solve for x
    x = 461,327.63/724.50
  6. Step 6: Final answer
    x = 636.75

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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.