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Finding the Fourth Proportional to 323.76, 446.72 and 235.28

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Solution

The fourth proportional to 323.76, 446.72 and 235.28 is: 324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 446.72 = 235.28 : x
  2. Step 2: Convert to fraction form
    323.76/446.72 = 235.28/x
  3. Step 3: Cross multiply
    323.76x = 446.72 × 235.28
  4. Step 4: Simplify right side
    323.76x = 105,104.28
  5. Step 5: Solve for x
    x = 105,104.28/323.76
  6. Step 6: Final answer
    x = 324.64

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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.