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Finding the Fourth Proportional to 498.53, 747.81 and 209.97

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Solution

The fourth proportional to 498.53, 747.81 and 209.97 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 747.81 = 209.97 : x
  2. Step 2: Convert to fraction form
    498.53/747.81 = 209.97/x
  3. Step 3: Cross multiply
    498.53x = 747.81 × 209.97
  4. Step 4: Simplify right side
    498.53x = 157,016.62
  5. Step 5: Solve for x
    x = 157,016.62/498.53
  6. Step 6: Final answer
    x = 314.96

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