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Finding the Fourth Proportional to 512.82, 769.14 and 204.78

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Solution

The fourth proportional to 512.82, 769.14 and 204.78 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.82 : 769.14 = 204.78 : x
  2. Step 2: Convert to fraction form
    512.82/769.14 = 204.78/x
  3. Step 3: Cross multiply
    512.82x = 769.14 × 204.78
  4. Step 4: Simplify right side
    512.82x = 157,504.49
  5. Step 5: Solve for x
    x = 157,504.49/512.82
  6. Step 6: Final answer
    x = 307.13

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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.