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Finding the Fourth Proportional to 512.77, 769.26 and 269.23

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Solution

The fourth proportional to 512.77, 769.26 and 269.23 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.77 : 769.26 = 269.23 : x
  2. Step 2: Convert to fraction form
    512.77/769.26 = 269.23/x
  3. Step 3: Cross multiply
    512.77x = 769.26 × 269.23
  4. Step 4: Simplify right side
    512.77x = 207,107.87
  5. Step 5: Solve for x
    x = 207,107.87/512.77
  6. Step 6: Final answer
    x = 403.90

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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.