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Finding the Fourth Proportional to 493.26, 680.32 and 327.42

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Solution

The fourth proportional to 493.26, 680.32 and 327.42 is: 451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.26 : 680.32 = 327.42 : x
  2. Step 2: Convert to fraction form
    493.26/680.32 = 327.42/x
  3. Step 3: Cross multiply
    493.26x = 680.32 × 327.42
  4. Step 4: Simplify right side
    493.26x = 222,750.37
  5. Step 5: Solve for x
    x = 222,750.37/493.26
  6. Step 6: Final answer
    x = 451.59

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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.