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Finding the Fourth Proportional to 892.72, 1,339.20 and 276.47

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Solution

The fourth proportional to 892.72, 1,339.20 and 276.47 is: 414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.72 : 1,339.20 = 276.47 : x
  2. Step 2: Convert to fraction form
    892.72/1,339.20 = 276.47/x
  3. Step 3: Cross multiply
    892.72x = 1,339.20 × 276.47
  4. Step 4: Simplify right side
    892.72x = 370,251.97
  5. Step 5: Solve for x
    x = 370,251.97/892.72
  6. Step 6: Final answer
    x = 414.75

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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.