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Finding the Fourth Proportional to 512.60, 769.13 and 269.07

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Solution

The fourth proportional to 512.60, 769.13 and 269.07 is: 403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.60 : 769.13 = 269.07 : x
  2. Step 2: Convert to fraction form
    512.60/769.13 = 269.07/x
  3. Step 3: Cross multiply
    512.60x = 769.13 × 269.07
  4. Step 4: Simplify right side
    512.60x = 206,953.37
  5. Step 5: Solve for x
    x = 206,953.37/512.60
  6. Step 6: Final answer
    x = 403.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.