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Finding the Fourth Proportional to 276.05, 414.25 and 215.30

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Solution

The fourth proportional to 276.05, 414.25 and 215.30 is: 323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.05 : 414.25 = 215.30 : x
  2. Step 2: Convert to fraction form
    276.05/414.25 = 215.30/x
  3. Step 3: Cross multiply
    276.05x = 414.25 × 215.30
  4. Step 4: Simplify right side
    276.05x = 89,188.03
  5. Step 5: Solve for x
    x = 89,188.03/276.05
  6. Step 6: Final answer
    x = 323.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.