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Finding the Fourth Proportional to 387.20, 580.56 and 143.44

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Solution

The fourth proportional to 387.20, 580.56 and 143.44 is: 215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.20 : 580.56 = 143.44 : x
  2. Step 2: Convert to fraction form
    387.20/580.56 = 143.44/x
  3. Step 3: Cross multiply
    387.20x = 580.56 × 143.44
  4. Step 4: Simplify right side
    387.20x = 83,275.53
  5. Step 5: Solve for x
    x = 83,275.53/387.20
  6. Step 6: Final answer
    x = 215.07

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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.