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Finding the Fourth Proportional to 512.72, 769.28 and 204.80

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Solution

The fourth proportional to 512.72, 769.28 and 204.80 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 769.28 = 204.80 : x
  2. Step 2: Convert to fraction form
    512.72/769.28 = 204.80/x
  3. Step 3: Cross multiply
    512.72x = 769.28 × 204.80
  4. Step 4: Simplify right side
    512.72x = 157,548.54
  5. Step 5: Solve for x
    x = 157,548.54/512.72
  6. Step 6: Final answer
    x = 307.28

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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.