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Finding the Fourth Proportional to 323.53, 446.39 and 207.16

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Solution

The fourth proportional to 323.53, 446.39 and 207.16 is: 285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.53 : 446.39 = 207.16 : x
  2. Step 2: Convert to fraction form
    323.53/446.39 = 207.16/x
  3. Step 3: Cross multiply
    323.53x = 446.39 × 207.16
  4. Step 4: Simplify right side
    323.53x = 92,473.12
  5. Step 5: Solve for x
    x = 92,473.12/323.53
  6. Step 6: Final answer
    x = 285.83

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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.