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Finding the Fourth Proportional to 512.80, 769.02 and 204.52

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Solution

The fourth proportional to 512.80, 769.02 and 204.52 is: 306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 769.02 = 204.52 : x
  2. Step 2: Convert to fraction form
    512.80/769.02 = 204.52/x
  3. Step 3: Cross multiply
    512.80x = 769.02 × 204.52
  4. Step 4: Simplify right side
    512.80x = 157,279.97
  5. Step 5: Solve for x
    x = 157,279.97/512.80
  6. Step 6: Final answer
    x = 306.71

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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.