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Finding the Fourth Proportional to 323.84, 446.88 and 207.20

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Solution

The fourth proportional to 323.84, 446.88 and 207.20 is: 285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 446.88 = 207.20 : x
  2. Step 2: Convert to fraction form
    323.84/446.88 = 207.20/x
  3. Step 3: Cross multiply
    323.84x = 446.88 × 207.20
  4. Step 4: Simplify right side
    323.84x = 92,593.54
  5. Step 5: Solve for x
    x = 92,593.54/323.84
  6. Step 6: Final answer
    x = 285.92

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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.