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Finding the Fourth Proportional to 512.76, 769.12 and 170.76

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Solution

The fourth proportional to 512.76, 769.12 and 170.76 is: 256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 769.12 = 170.76 : x
  2. Step 2: Convert to fraction form
    512.76/769.12 = 170.76/x
  3. Step 3: Cross multiply
    512.76x = 769.12 × 170.76
  4. Step 4: Simplify right side
    512.76x = 131,334.93
  5. Step 5: Solve for x
    x = 131,334.93/512.76
  6. Step 6: Final answer
    x = 256.13

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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.