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Finding the Fourth Proportional to 325.79, 488.68 and 120.29

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Solution

The fourth proportional to 325.79, 488.68 and 120.29 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.79 : 488.68 = 120.29 : x
  2. Step 2: Convert to fraction form
    325.79/488.68 = 120.29/x
  3. Step 3: Cross multiply
    325.79x = 488.68 × 120.29
  4. Step 4: Simplify right side
    325.79x = 58,780.57
  5. Step 5: Solve for x
    x = 58,780.57/325.79
  6. Step 6: Final answer
    x = 180.43

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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.