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Finding the Fourth Proportional to 400.31, 552.59 and 252.92

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Solution

The fourth proportional to 400.31, 552.59 and 252.92 is: 349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.31 : 552.59 = 252.92 : x
  2. Step 2: Convert to fraction form
    400.31/552.59 = 252.92/x
  3. Step 3: Cross multiply
    400.31x = 552.59 × 252.92
  4. Step 4: Simplify right side
    400.31x = 139,757.04
  5. Step 5: Solve for x
    x = 139,757.04/400.31
  6. Step 6: Final answer
    x = 349.13

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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.