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Finding the Fourth Proportional to 272.28, 409.32 and 252.24

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Solution

The fourth proportional to 272.28, 409.32 and 252.24 is: 379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.28 : 409.32 = 252.24 : x
  2. Step 2: Convert to fraction form
    272.28/409.32 = 252.24/x
  3. Step 3: Cross multiply
    272.28x = 409.32 × 252.24
  4. Step 4: Simplify right side
    272.28x = 103,246.88
  5. Step 5: Solve for x
    x = 103,246.88/272.28
  6. Step 6: Final answer
    x = 379.19

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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.