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Finding the Fourth Proportional to 386.24, 579.39 and 112.40

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Solution

The fourth proportional to 386.24, 579.39 and 112.40 is: 168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 579.39 = 112.40 : x
  2. Step 2: Convert to fraction form
    386.24/579.39 = 112.40/x
  3. Step 3: Cross multiply
    386.24x = 579.39 × 112.40
  4. Step 4: Simplify right side
    386.24x = 65,123.44
  5. Step 5: Solve for x
    x = 65,123.44/386.24
  6. Step 6: Final answer
    x = 168.61

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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.