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Finding the Fourth Proportional to 323.40, 485.10 and 89.12

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Solution

The fourth proportional to 323.40, 485.10 and 89.12 is: 133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.40 : 485.10 = 89.12 : x
  2. Step 2: Convert to fraction form
    323.40/485.10 = 89.12/x
  3. Step 3: Cross multiply
    323.40x = 485.10 × 89.12
  4. Step 4: Simplify right side
    323.40x = 43,232.11
  5. Step 5: Solve for x
    x = 43,232.11/323.40
  6. Step 6: Final answer
    x = 133.68

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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.