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Finding the Fourth Proportional to 512.18, 768.66 and 414.92

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Solution

The fourth proportional to 512.18, 768.66 and 414.92 is: 622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.18 : 768.66 = 414.92 : x
  2. Step 2: Convert to fraction form
    512.18/768.66 = 414.92/x
  3. Step 3: Cross multiply
    512.18x = 768.66 × 414.92
  4. Step 4: Simplify right side
    512.18x = 318,932.41
  5. Step 5: Solve for x
    x = 318,932.41/512.18
  6. Step 6: Final answer
    x = 622.70

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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.