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Finding the Fourth Proportional to 276.82, 414.49 and 216.86

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Solution

The fourth proportional to 276.82, 414.49 and 216.86 is: 324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.82 : 414.49 = 216.86 : x
  2. Step 2: Convert to fraction form
    276.82/414.49 = 216.86/x
  3. Step 3: Cross multiply
    276.82x = 414.49 × 216.86
  4. Step 4: Simplify right side
    276.82x = 89,884.23
  5. Step 5: Solve for x
    x = 89,884.23/276.82
  6. Step 6: Final answer
    x = 324.71

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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.