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Finding the Fourth Proportional to 493, 680.35 and 271.96

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Solution

The fourth proportional to 493, 680.35 and 271.96 is: 375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493 : 680.35 = 271.96 : x
  2. Step 2: Convert to fraction form
    493/680.35 = 271.96/x
  3. Step 3: Cross multiply
    493x = 680.35 × 271.96
  4. Step 4: Simplify right side
    493x = 185,027.99
  5. Step 5: Solve for x
    x = 185,027.99/493
  6. Step 6: Final answer
    x = 375.31

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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.