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Finding the Fourth Proportional to 323.46, 485.31 and 193.44

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Solution

The fourth proportional to 323.46, 485.31 and 193.44 is: 290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.46 : 485.31 = 193.44 : x
  2. Step 2: Convert to fraction form
    323.46/485.31 = 193.44/x
  3. Step 3: Cross multiply
    323.46x = 485.31 × 193.44
  4. Step 4: Simplify right side
    323.46x = 93,878.37
  5. Step 5: Solve for x
    x = 93,878.37/323.46
  6. Step 6: Final answer
    x = 290.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.