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Finding the Fourth Proportional to 494.20, 740.68 and 481.44

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Solution

The fourth proportional to 494.20, 740.68 and 481.44 is: 721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 740.68 = 481.44 : x
  2. Step 2: Convert to fraction form
    494.20/740.68 = 481.44/x
  3. Step 3: Cross multiply
    494.20x = 740.68 × 481.44
  4. Step 4: Simplify right side
    494.20x = 356,592.98
  5. Step 5: Solve for x
    x = 356,592.98/494.20
  6. Step 6: Final answer
    x = 721.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.