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Finding the Fourth Proportional to 513.27, 769.90 and 220.74

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Solution

The fourth proportional to 513.27, 769.90 and 220.74 is: 331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.27 : 769.90 = 220.74 : x
  2. Step 2: Convert to fraction form
    513.27/769.90 = 220.74/x
  3. Step 3: Cross multiply
    513.27x = 769.90 × 220.74
  4. Step 4: Simplify right side
    513.27x = 169,947.73
  5. Step 5: Solve for x
    x = 169,947.73/513.27
  6. Step 6: Final answer
    x = 331.11

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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.