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Finding the Fourth Proportional to 386.28, 579.26 and 142.65

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Solution

The fourth proportional to 386.28, 579.26 and 142.65 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.28 : 579.26 = 142.65 : x
  2. Step 2: Convert to fraction form
    386.28/579.26 = 142.65/x
  3. Step 3: Cross multiply
    386.28x = 579.26 × 142.65
  4. Step 4: Simplify right side
    386.28x = 82,631.80
  5. Step 5: Solve for x
    x = 82,631.80/386.28
  6. Step 6: Final answer
    x = 213.92

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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.