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Finding the Fourth Proportional to 323.76, 447 and 236.28

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Solution

The fourth proportional to 323.76, 447 and 236.28 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 447 = 236.28 : x
  2. Step 2: Convert to fraction form
    323.76/447 = 236.28/x
  3. Step 3: Cross multiply
    323.76x = 447 × 236.28
  4. Step 4: Simplify right side
    323.76x = 105,617.16
  5. Step 5: Solve for x
    x = 105,617.16/323.76
  6. Step 6: Final answer
    x = 326.22

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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.