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Finding the Fourth Proportional to 323.86, 447.06 and 230.62

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Solution

The fourth proportional to 323.86, 447.06 and 230.62 is: 318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.86 : 447.06 = 230.62 : x
  2. Step 2: Convert to fraction form
    323.86/447.06 = 230.62/x
  3. Step 3: Cross multiply
    323.86x = 447.06 × 230.62
  4. Step 4: Simplify right side
    323.86x = 103,100.98
  5. Step 5: Solve for x
    x = 103,100.98/323.86
  6. Step 6: Final answer
    x = 318.35

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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.