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Finding the Fourth Proportional to 512.45, 768.68 and 269.45

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Solution

The fourth proportional to 512.45, 768.68 and 269.45 is: 404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.45 : 768.68 = 269.45 : x
  2. Step 2: Convert to fraction form
    512.45/768.68 = 269.45/x
  3. Step 3: Cross multiply
    512.45x = 768.68 × 269.45
  4. Step 4: Simplify right side
    512.45x = 207,123.42
  5. Step 5: Solve for x
    x = 207,123.42/512.45
  6. Step 6: Final answer
    x = 404.18

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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.