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Finding the Fourth Proportional to 400.94, 553.36 and 249.56

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Solution

The fourth proportional to 400.94, 553.36 and 249.56 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.94 : 553.36 = 249.56 : x
  2. Step 2: Convert to fraction form
    400.94/553.36 = 249.56/x
  3. Step 3: Cross multiply
    400.94x = 553.36 × 249.56
  4. Step 4: Simplify right side
    400.94x = 138,096.52
  5. Step 5: Solve for x
    x = 138,096.52/400.94
  6. Step 6: Final answer
    x = 344.43

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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.