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Finding the Fourth Proportional to 512.87, 769.13 and 204.64

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Solution

The fourth proportional to 512.87, 769.13 and 204.64 is: 306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.87 : 769.13 = 204.64 : x
  2. Step 2: Convert to fraction form
    512.87/769.13 = 204.64/x
  3. Step 3: Cross multiply
    512.87x = 769.13 × 204.64
  4. Step 4: Simplify right side
    512.87x = 157,394.53
  5. Step 5: Solve for x
    x = 157,394.53/512.87
  6. Step 6: Final answer
    x = 306.89

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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.