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Finding the Fourth Proportional to 276.45, 381.61 and 217.59

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Solution

The fourth proportional to 276.45, 381.61 and 217.59 is: 300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.45 : 381.61 = 217.59 : x
  2. Step 2: Convert to fraction form
    276.45/381.61 = 217.59/x
  3. Step 3: Cross multiply
    276.45x = 381.61 × 217.59
  4. Step 4: Simplify right side
    276.45x = 83,033.36
  5. Step 5: Solve for x
    x = 83,033.36/276.45
  6. Step 6: Final answer
    x = 300.36

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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.