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Finding the Fourth Proportional to 276.18, 414.30 and 271.80

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Solution

The fourth proportional to 276.18, 414.30 and 271.80 is: 407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.18 : 414.30 = 271.80 : x
  2. Step 2: Convert to fraction form
    276.18/414.30 = 271.80/x
  3. Step 3: Cross multiply
    276.18x = 414.30 × 271.80
  4. Step 4: Simplify right side
    276.18x = 112,606.74
  5. Step 5: Solve for x
    x = 112,606.74/276.18
  6. Step 6: Final answer
    x = 407.73

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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.