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Finding the Fourth Proportional to 323.95, 446.52 and 225.49

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Solution

The fourth proportional to 323.95, 446.52 and 225.49 is: 310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.95 : 446.52 = 225.49 : x
  2. Step 2: Convert to fraction form
    323.95/446.52 = 225.49/x
  3. Step 3: Cross multiply
    323.95x = 446.52 × 225.49
  4. Step 4: Simplify right side
    323.95x = 100,685.79
  5. Step 5: Solve for x
    x = 100,685.79/323.95
  6. Step 6: Final answer
    x = 310.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.