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Finding the Fourth Proportional to 276.64, 414.96 and 84.27

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Solution

The fourth proportional to 276.64, 414.96 and 84.27 is: 126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.64 : 414.96 = 84.27 : x
  2. Step 2: Convert to fraction form
    276.64/414.96 = 84.27/x
  3. Step 3: Cross multiply
    276.64x = 414.96 × 84.27
  4. Step 4: Simplify right side
    276.64x = 34,967.64
  5. Step 5: Solve for x
    x = 34,967.64/276.64
  6. Step 6: Final answer
    x = 126.40

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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.