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Finding the Fourth Proportional to 512.98, 769.03 and 204.64

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Solution

The fourth proportional to 512.98, 769.03 and 204.64 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.98 : 769.03 = 204.64 : x
  2. Step 2: Convert to fraction form
    512.98/769.03 = 204.64/x
  3. Step 3: Cross multiply
    512.98x = 769.03 × 204.64
  4. Step 4: Simplify right side
    512.98x = 157,374.30
  5. Step 5: Solve for x
    x = 157,374.30/512.98
  6. Step 6: Final answer
    x = 306.78

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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.