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Finding the Fourth Proportional to 513.13, 769.47 and 220.76

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Solution

The fourth proportional to 513.13, 769.47 and 220.76 is: 331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.13 : 769.47 = 220.76 : x
  2. Step 2: Convert to fraction form
    513.13/769.47 = 220.76/x
  3. Step 3: Cross multiply
    513.13x = 769.47 × 220.76
  4. Step 4: Simplify right side
    513.13x = 169,868.20
  5. Step 5: Solve for x
    x = 169,868.20/513.13
  6. Step 6: Final answer
    x = 331.05

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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.