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Finding the Fourth Proportional to 579.73, 799.96 and 343.77

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Solution

The fourth proportional to 579.73, 799.96 and 343.77 is: 474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.73 : 799.96 = 343.77 : x
  2. Step 2: Convert to fraction form
    579.73/799.96 = 343.77/x
  3. Step 3: Cross multiply
    579.73x = 799.96 × 343.77
  4. Step 4: Simplify right side
    579.73x = 275,002.25
  5. Step 5: Solve for x
    x = 275,002.25/579.73
  6. Step 6: Final answer
    x = 474.36

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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.