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Finding the Fourth Proportional to 400.28, 552.08 and 252.88

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Solution

The fourth proportional to 400.28, 552.08 and 252.88 is: 348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 552.08 = 252.88 : x
  2. Step 2: Convert to fraction form
    400.28/552.08 = 252.88/x
  3. Step 3: Cross multiply
    400.28x = 552.08 × 252.88
  4. Step 4: Simplify right side
    400.28x = 139,609.24
  5. Step 5: Solve for x
    x = 139,609.24/400.28
  6. Step 6: Final answer
    x = 348.78

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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.