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Finding the Fourth Proportional to 323.26, 446.31 and 235.78

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Solution

The fourth proportional to 323.26, 446.31 and 235.78 is: 325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.26 : 446.31 = 235.78 : x
  2. Step 2: Convert to fraction form
    323.26/446.31 = 235.78/x
  3. Step 3: Cross multiply
    323.26x = 446.31 × 235.78
  4. Step 4: Simplify right side
    323.26x = 105,230.97
  5. Step 5: Solve for x
    x = 105,230.97/323.26
  6. Step 6: Final answer
    x = 325.53

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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.