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Finding the Fourth Proportional to 386.38, 578.67 and 270.94

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Solution

The fourth proportional to 386.38, 578.67 and 270.94 is: 405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.38 : 578.67 = 270.94 : x
  2. Step 2: Convert to fraction form
    386.38/578.67 = 270.94/x
  3. Step 3: Cross multiply
    386.38x = 578.67 × 270.94
  4. Step 4: Simplify right side
    386.38x = 156,784.85
  5. Step 5: Solve for x
    x = 156,784.85/386.38
  6. Step 6: Final answer
    x = 405.78

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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.