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Finding the Fourth Proportional to 386.67, 580.19 and 170.22

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Solution

The fourth proportional to 386.67, 580.19 and 170.22 is: 255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.67 : 580.19 = 170.22 : x
  2. Step 2: Convert to fraction form
    386.67/580.19 = 170.22/x
  3. Step 3: Cross multiply
    386.67x = 580.19 × 170.22
  4. Step 4: Simplify right side
    386.67x = 98,759.94
  5. Step 5: Solve for x
    x = 98,759.94/386.67
  6. Step 6: Final answer
    x = 255.41

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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.