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Finding the Fourth Proportional to 512.60, 769.10 and 269.06

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Solution

The fourth proportional to 512.60, 769.10 and 269.06 is: 403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.60 : 769.10 = 269.06 : x
  2. Step 2: Convert to fraction form
    512.60/769.10 = 269.06/x
  3. Step 3: Cross multiply
    512.60x = 769.10 × 269.06
  4. Step 4: Simplify right side
    512.60x = 206,928.86
  5. Step 5: Solve for x
    x = 206,928.86/512.60
  6. Step 6: Final answer
    x = 403.69

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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.