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Finding the Fourth Proportional to 579.70, 799.86 and 346.96

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Solution

The fourth proportional to 579.70, 799.86 and 346.96 is: 478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.70 : 799.86 = 346.96 : x
  2. Step 2: Convert to fraction form
    579.70/799.86 = 346.96/x
  3. Step 3: Cross multiply
    579.70x = 799.86 × 346.96
  4. Step 4: Simplify right side
    579.70x = 277,517.43
  5. Step 5: Solve for x
    x = 277,517.43/579.70
  6. Step 6: Final answer
    x = 478.73

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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.