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Finding the Fourth Proportional to 513.27, 769.19 and 317.61

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Solution

The fourth proportional to 513.27, 769.19 and 317.61 is: 475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.27 : 769.19 = 317.61 : x
  2. Step 2: Convert to fraction form
    513.27/769.19 = 317.61/x
  3. Step 3: Cross multiply
    513.27x = 769.19 × 317.61
  4. Step 4: Simplify right side
    513.27x = 244,300.85
  5. Step 5: Solve for x
    x = 244,300.85/513.27
  6. Step 6: Final answer
    x = 475.97

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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.