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Finding the Fourth Proportional to 323.69, 447 and 294.53

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Solution

The fourth proportional to 323.69, 447 and 294.53 is: 406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.69 : 447 = 294.53 : x
  2. Step 2: Convert to fraction form
    323.69/447 = 294.53/x
  3. Step 3: Cross multiply
    323.69x = 447 × 294.53
  4. Step 4: Simplify right side
    323.69x = 131,654.91
  5. Step 5: Solve for x
    x = 131,654.91/323.69
  6. Step 6: Final answer
    x = 406.73

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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.