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Finding the Fourth Proportional to 323.43, 446.43 and 306.90

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Solution

The fourth proportional to 323.43, 446.43 and 306.90 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.43 : 446.43 = 306.90 : x
  2. Step 2: Convert to fraction form
    323.43/446.43 = 306.90/x
  3. Step 3: Cross multiply
    323.43x = 446.43 × 306.90
  4. Step 4: Simplify right side
    323.43x = 137,010.07
  5. Step 5: Solve for x
    x = 137,010.07/323.43
  6. Step 6: Final answer
    x = 423.62

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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.