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Finding the Fourth Proportional to 327.94, 452.24 and 235.14

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Solution

The fourth proportional to 327.94, 452.24 and 235.14 is: 324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 452.24 = 235.14 : x
  2. Step 2: Convert to fraction form
    327.94/452.24 = 235.14/x
  3. Step 3: Cross multiply
    327.94x = 452.24 × 235.14
  4. Step 4: Simplify right side
    327.94x = 106,340.30
  5. Step 5: Solve for x
    x = 106,340.30/327.94
  6. Step 6: Final answer
    x = 324.27

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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.