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Finding the Fourth Proportional to 387.20, 579.76 and 271.40

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Solution

The fourth proportional to 387.20, 579.76 and 271.40 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.20 : 579.76 = 271.40 : x
  2. Step 2: Convert to fraction form
    387.20/579.76 = 271.40/x
  3. Step 3: Cross multiply
    387.20x = 579.76 × 271.40
  4. Step 4: Simplify right side
    387.20x = 157,346.86
  5. Step 5: Solve for x
    x = 157,346.86/387.20
  6. Step 6: Final answer
    x = 406.37

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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.