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Finding the Fourth Proportional to 493.67, 680.90 and 316.68

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Solution

The fourth proportional to 493.67, 680.90 and 316.68 is: 436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.67 : 680.90 = 316.68 : x
  2. Step 2: Convert to fraction form
    493.67/680.90 = 316.68/x
  3. Step 3: Cross multiply
    493.67x = 680.90 × 316.68
  4. Step 4: Simplify right side
    493.67x = 215,625.83
  5. Step 5: Solve for x
    x = 215,625.83/493.67
  6. Step 6: Final answer
    x = 436.79

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