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Finding the Fourth Proportional to 512.18, 767.56 and 280.79

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Solution

The fourth proportional to 512.18, 767.56 and 280.79 is: 420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.18 : 767.56 = 280.79 : x
  2. Step 2: Convert to fraction form
    512.18/767.56 = 280.79/x
  3. Step 3: Cross multiply
    512.18x = 767.56 × 280.79
  4. Step 4: Simplify right side
    512.18x = 215,522.04
  5. Step 5: Solve for x
    x = 215,522.04/512.18
  6. Step 6: Final answer
    x = 420.79

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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.