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Finding the Fourth Proportional to 512.97, 769.44 and 204.74

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Solution

The fourth proportional to 512.97, 769.44 and 204.74 is: 307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.97 : 769.44 = 204.74 : x
  2. Step 2: Convert to fraction form
    512.97/769.44 = 204.74/x
  3. Step 3: Cross multiply
    512.97x = 769.44 × 204.74
  4. Step 4: Simplify right side
    512.97x = 157,535.96
  5. Step 5: Solve for x
    x = 157,535.96/512.97
  6. Step 6: Final answer
    x = 307.10

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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.