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Finding the Fourth Proportional to 323.68, 446.70 and 207.04

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Solution

The fourth proportional to 323.68, 446.70 and 207.04 is: 285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.68 : 446.70 = 207.04 : x
  2. Step 2: Convert to fraction form
    323.68/446.70 = 207.04/x
  3. Step 3: Cross multiply
    323.68x = 446.70 × 207.04
  4. Step 4: Simplify right side
    323.68x = 92,484.77
  5. Step 5: Solve for x
    x = 92,484.77/323.68
  6. Step 6: Final answer
    x = 285.73

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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.