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Finding the Fourth Proportional to 323.49, 446.13 and 235.56

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Solution

The fourth proportional to 323.49, 446.13 and 235.56 is: 324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.49 : 446.13 = 235.56 : x
  2. Step 2: Convert to fraction form
    323.49/446.13 = 235.56/x
  3. Step 3: Cross multiply
    323.49x = 446.13 × 235.56
  4. Step 4: Simplify right side
    323.49x = 105,090.38
  5. Step 5: Solve for x
    x = 105,090.38/323.49
  6. Step 6: Final answer
    x = 324.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.