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Finding the Fourth Proportional to 276.41, 414.61 and 84.03

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Solution

The fourth proportional to 276.41, 414.61 and 84.03 is: 126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.41 : 414.61 = 84.03 : x
  2. Step 2: Convert to fraction form
    276.41/414.61 = 84.03/x
  3. Step 3: Cross multiply
    276.41x = 414.61 × 84.03
  4. Step 4: Simplify right side
    276.41x = 34,839.68
  5. Step 5: Solve for x
    x = 34,839.68/276.41
  6. Step 6: Final answer
    x = 126.05

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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.