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Finding the Fourth Proportional to 276.85, 411.72 and 268.20

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Solution

The fourth proportional to 276.85, 411.72 and 268.20 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.85 : 411.72 = 268.20 : x
  2. Step 2: Convert to fraction form
    276.85/411.72 = 268.20/x
  3. Step 3: Cross multiply
    276.85x = 411.72 × 268.20
  4. Step 4: Simplify right side
    276.85x = 110,423.30
  5. Step 5: Solve for x
    x = 110,423.30/276.85
  6. Step 6: Final answer
    x = 398.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.