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Finding the Fourth Proportional to 323.84, 447 and 207.38

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Solution

The fourth proportional to 323.84, 447 and 207.38 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 447 = 207.38 : x
  2. Step 2: Convert to fraction form
    323.84/447 = 207.38/x
  3. Step 3: Cross multiply
    323.84x = 447 × 207.38
  4. Step 4: Simplify right side
    323.84x = 92,698.86
  5. Step 5: Solve for x
    x = 92,698.86/323.84
  6. Step 6: Final answer
    x = 286.25

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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.