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Finding the Fourth Proportional to 579.38, 799.62 and 346.56

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Solution

The fourth proportional to 579.38, 799.62 and 346.56 is: 478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.38 : 799.62 = 346.56 : x
  2. Step 2: Convert to fraction form
    579.38/799.62 = 346.56/x
  3. Step 3: Cross multiply
    579.38x = 799.62 × 346.56
  4. Step 4: Simplify right side
    579.38x = 277,116.31
  5. Step 5: Solve for x
    x = 277,116.31/579.38
  6. Step 6: Final answer
    x = 478.30

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Why These Related Problems?

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