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Finding the Fourth Proportional to 323.48, 446.46 and 282.08

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Solution

The fourth proportional to 323.48, 446.46 and 282.08 is: 389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.48 : 446.46 = 282.08 : x
  2. Step 2: Convert to fraction form
    323.48/446.46 = 282.08/x
  3. Step 3: Cross multiply
    323.48x = 446.46 × 282.08
  4. Step 4: Simplify right side
    323.48x = 125,937.44
  5. Step 5: Solve for x
    x = 125,937.44/323.48
  6. Step 6: Final answer
    x = 389.32

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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.