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Finding the Fourth Proportional to 512.95, 769.52 and 269.55

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Solution

The fourth proportional to 512.95, 769.52 and 269.55 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.95 : 769.52 = 269.55 : x
  2. Step 2: Convert to fraction form
    512.95/769.52 = 269.55/x
  3. Step 3: Cross multiply
    512.95x = 769.52 × 269.55
  4. Step 4: Simplify right side
    512.95x = 207,424.12
  5. Step 5: Solve for x
    x = 207,424.12/512.95
  6. Step 6: Final answer
    x = 404.37

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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.