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Finding the Fourth Proportional to 323.48, 446.29 and 205.43

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Solution

The fourth proportional to 323.48, 446.29 and 205.43 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.48 : 446.29 = 205.43 : x
  2. Step 2: Convert to fraction form
    323.48/446.29 = 205.43/x
  3. Step 3: Cross multiply
    323.48x = 446.29 × 205.43
  4. Step 4: Simplify right side
    323.48x = 91,678.10
  5. Step 5: Solve for x
    x = 91,678.10/323.48
  6. Step 6: Final answer
    x = 283.41

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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.