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Finding the Fourth Proportional to 386.17, 578.85 and 180.56

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Solution

The fourth proportional to 386.17, 578.85 and 180.56 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.17 : 578.85 = 180.56 : x
  2. Step 2: Convert to fraction form
    386.17/578.85 = 180.56/x
  3. Step 3: Cross multiply
    386.17x = 578.85 × 180.56
  4. Step 4: Simplify right side
    386.17x = 104,517.93
  5. Step 5: Solve for x
    x = 104,517.93/386.17
  6. Step 6: Final answer
    x = 270.65

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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.