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Finding the Fourth Proportional to 579.20, 799.17 and 343.15

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Solution

The fourth proportional to 579.20, 799.17 and 343.15 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.20 : 799.17 = 343.15 : x
  2. Step 2: Convert to fraction form
    579.20/799.17 = 343.15/x
  3. Step 3: Cross multiply
    579.20x = 799.17 × 343.15
  4. Step 4: Simplify right side
    579.20x = 274,229.47
  5. Step 5: Solve for x
    x = 274,229.47/579.20
  6. Step 6: Final answer
    x = 473.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.