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Finding the Fourth Proportional to 494.78, 742.26 and 220.87

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Solution

The fourth proportional to 494.78, 742.26 and 220.87 is: 331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.78 : 742.26 = 220.87 : x
  2. Step 2: Convert to fraction form
    494.78/742.26 = 220.87/x
  3. Step 3: Cross multiply
    494.78x = 742.26 × 220.87
  4. Step 4: Simplify right side
    494.78x = 163,942.97
  5. Step 5: Solve for x
    x = 163,942.97/494.78
  6. Step 6: Final answer
    x = 331.35

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