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Finding the Fourth Proportional to 327.48, 451.61 and 234.30

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Solution

The fourth proportional to 327.48, 451.61 and 234.30 is: 323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 451.61 = 234.30 : x
  2. Step 2: Convert to fraction form
    327.48/451.61 = 234.30/x
  3. Step 3: Cross multiply
    327.48x = 451.61 × 234.30
  4. Step 4: Simplify right side
    327.48x = 105,812.40
  5. Step 5: Solve for x
    x = 105,812.40/327.48
  6. Step 6: Final answer
    x = 323.11

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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.