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Finding the Fourth Proportional to 276.84, 381.83 and 217.91

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Solution

The fourth proportional to 276.84, 381.83 and 217.91 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 381.83 = 217.91 : x
  2. Step 2: Convert to fraction form
    276.84/381.83 = 217.91/x
  3. Step 3: Cross multiply
    276.84x = 381.83 × 217.91
  4. Step 4: Simplify right side
    276.84x = 83,201.58
  5. Step 5: Solve for x
    x = 83,201.58/276.84
  6. Step 6: Final answer
    x = 300.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.