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Finding the Fourth Proportional to 327.86, 453.03 and 234.44

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Solution

The fourth proportional to 327.86, 453.03 and 234.44 is: 323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.86 : 453.03 = 234.44 : x
  2. Step 2: Convert to fraction form
    327.86/453.03 = 234.44/x
  3. Step 3: Cross multiply
    327.86x = 453.03 × 234.44
  4. Step 4: Simplify right side
    327.86x = 106,207.18
  5. Step 5: Solve for x
    x = 106,207.18/327.86
  6. Step 6: Final answer
    x = 323.94

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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.