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Finding the Fourth Proportional to 513.26, 769.40 and 269.94

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Solution

The fourth proportional to 513.26, 769.40 and 269.94 is: 404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 769.40 = 269.94 : x
  2. Step 2: Convert to fraction form
    513.26/769.40 = 269.94/x
  3. Step 3: Cross multiply
    513.26x = 769.40 × 269.94
  4. Step 4: Simplify right side
    513.26x = 207,691.84
  5. Step 5: Solve for x
    x = 207,691.84/513.26
  6. Step 6: Final answer
    x = 404.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.