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Finding the Fourth Proportional to 323.80, 446.74 and 230.56

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Solution

The fourth proportional to 323.80, 446.74 and 230.56 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.80 : 446.74 = 230.56 : x
  2. Step 2: Convert to fraction form
    323.80/446.74 = 230.56/x
  3. Step 3: Cross multiply
    323.80x = 446.74 × 230.56
  4. Step 4: Simplify right side
    323.80x = 103,000.37
  5. Step 5: Solve for x
    x = 103,000.37/323.80
  6. Step 6: Final answer
    x = 318.10

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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.