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Finding the Fourth Proportional to 323.82, 446.68 and 282.48

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Solution

The fourth proportional to 323.82, 446.68 and 282.48 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 446.68 = 282.48 : x
  2. Step 2: Convert to fraction form
    323.82/446.68 = 282.48/x
  3. Step 3: Cross multiply
    323.82x = 446.68 × 282.48
  4. Step 4: Simplify right side
    323.82x = 126,178.17
  5. Step 5: Solve for x
    x = 126,178.17/323.82
  6. Step 6: Final answer
    x = 389.66

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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.