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Finding the Fourth Proportional to 724.01, 998.87 and 475.46

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Solution

The fourth proportional to 724.01, 998.87 and 475.46 is: 655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.01 : 998.87 = 475.46 : x
  2. Step 2: Convert to fraction form
    724.01/998.87 = 475.46/x
  3. Step 3: Cross multiply
    724.01x = 998.87 × 475.46
  4. Step 4: Simplify right side
    724.01x = 474,919.10
  5. Step 5: Solve for x
    x = 474,919.10/724.01
  6. Step 6: Final answer
    x = 655.96

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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.