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Finding the Fourth Proportional to 331.56, 457.40 and 220.92

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Solution

The fourth proportional to 331.56, 457.40 and 220.92 is: 304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.56 : 457.40 = 220.92 : x
  2. Step 2: Convert to fraction form
    331.56/457.40 = 220.92/x
  3. Step 3: Cross multiply
    331.56x = 457.40 × 220.92
  4. Step 4: Simplify right side
    331.56x = 101,049.68
  5. Step 5: Solve for x
    x = 101,049.68/331.56
  6. Step 6: Final answer
    x = 304.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.