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Finding the Fourth Proportional to 724.30, 999.70 and 475.20

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Solution

The fourth proportional to 724.30, 999.70 and 475.20 is: 655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.30 : 999.70 = 475.20 : x
  2. Step 2: Convert to fraction form
    724.30/999.70 = 475.20/x
  3. Step 3: Cross multiply
    724.30x = 999.70 × 475.20
  4. Step 4: Simplify right side
    724.30x = 475,057.44
  5. Step 5: Solve for x
    x = 475,057.44/724.30
  6. Step 6: Final answer
    x = 655.88

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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.