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Finding the Fourth Proportional to 493.16, 680.60 and 296.68

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Solution

The fourth proportional to 493.16, 680.60 and 296.68 is: 409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.16 : 680.60 = 296.68 : x
  2. Step 2: Convert to fraction form
    493.16/680.60 = 296.68/x
  3. Step 3: Cross multiply
    493.16x = 680.60 × 296.68
  4. Step 4: Simplify right side
    493.16x = 201,920.41
  5. Step 5: Solve for x
    x = 201,920.41/493.16
  6. Step 6: Final answer
    x = 409.44

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