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Finding the Fourth Proportional to 512.80, 769.74 and 269.26

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Solution

The fourth proportional to 512.80, 769.74 and 269.26 is: 404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 769.74 = 269.26 : x
  2. Step 2: Convert to fraction form
    512.80/769.74 = 269.26/x
  3. Step 3: Cross multiply
    512.80x = 769.74 × 269.26
  4. Step 4: Simplify right side
    512.80x = 207,260.19
  5. Step 5: Solve for x
    x = 207,260.19/512.80
  6. Step 6: Final answer
    x = 404.17

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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.