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Finding the Fourth Proportional to 512.52, 768.14 and 268.92

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Solution

The fourth proportional to 512.52, 768.14 and 268.92 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 768.14 = 268.92 : x
  2. Step 2: Convert to fraction form
    512.52/768.14 = 268.92/x
  3. Step 3: Cross multiply
    512.52x = 768.14 × 268.92
  4. Step 4: Simplify right side
    512.52x = 206,568.21
  5. Step 5: Solve for x
    x = 206,568.21/512.52
  6. Step 6: Final answer
    x = 403.04

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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.