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Finding the Fourth Proportional to 512.14, 768.22 and 269.14

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Solution

The fourth proportional to 512.14, 768.22 and 269.14 is: 403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.14 : 768.22 = 269.14 : x
  2. Step 2: Convert to fraction form
    512.14/768.22 = 269.14/x
  3. Step 3: Cross multiply
    512.14x = 768.22 × 269.14
  4. Step 4: Simplify right side
    512.14x = 206,758.73
  5. Step 5: Solve for x
    x = 206,758.73/512.14
  6. Step 6: Final answer
    x = 403.72

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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.