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Finding the Fourth Proportional to 323.44, 485.07 and 92.27

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Solution

The fourth proportional to 323.44, 485.07 and 92.27 is: 138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.44 : 485.07 = 92.27 : x
  2. Step 2: Convert to fraction form
    323.44/485.07 = 92.27/x
  3. Step 3: Cross multiply
    323.44x = 485.07 × 92.27
  4. Step 4: Simplify right side
    323.44x = 44,756.07
  5. Step 5: Solve for x
    x = 44,756.07/323.44
  6. Step 6: Final answer
    x = 138.38

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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.