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Finding the Fourth Proportional to 323.51, 446.33 and 225.32

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Solution

The fourth proportional to 323.51, 446.33 and 225.32 is: 310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.51 : 446.33 = 225.32 : x
  2. Step 2: Convert to fraction form
    323.51/446.33 = 225.32/x
  3. Step 3: Cross multiply
    323.51x = 446.33 × 225.32
  4. Step 4: Simplify right side
    323.51x = 100,565.41
  5. Step 5: Solve for x
    x = 100,565.41/323.51
  6. Step 6: Final answer
    x = 310.86

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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.