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Finding the Fourth Proportional to 512.64, 769.39 and 204.71

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Solution

The fourth proportional to 512.64, 769.39 and 204.71 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 769.39 = 204.71 : x
  2. Step 2: Convert to fraction form
    512.64/769.39 = 204.71/x
  3. Step 3: Cross multiply
    512.64x = 769.39 × 204.71
  4. Step 4: Simplify right side
    512.64x = 157,497.98
  5. Step 5: Solve for x
    x = 157,497.98/512.64
  6. Step 6: Final answer
    x = 307.23

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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.