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Finding the Fourth Proportional to 512.14, 768.64 and 204.20

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Solution

The fourth proportional to 512.14, 768.64 and 204.20 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.14 : 768.64 = 204.20 : x
  2. Step 2: Convert to fraction form
    512.14/768.64 = 204.20/x
  3. Step 3: Cross multiply
    512.14x = 768.64 × 204.20
  4. Step 4: Simplify right side
    512.14x = 156,956.29
  5. Step 5: Solve for x
    x = 156,956.29/512.14
  6. Step 6: Final answer
    x = 306.47

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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.