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Finding the Fourth Proportional to 513, 769.47 and 269.37

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Solution

The fourth proportional to 513, 769.47 and 269.37 is: 404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 769.47 = 269.37 : x
  2. Step 2: Convert to fraction form
    513/769.47 = 269.37/x
  3. Step 3: Cross multiply
    513x = 769.47 × 269.37
  4. Step 4: Simplify right side
    513x = 207,272.13
  5. Step 5: Solve for x
    x = 207,272.13/513
  6. Step 6: Final answer
    x = 404.04

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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.