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Finding the Fourth Proportional to 498.48, 746.96 and 209.76

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Solution

The fourth proportional to 498.48, 746.96 and 209.76 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.48 : 746.96 = 209.76 : x
  2. Step 2: Convert to fraction form
    498.48/746.96 = 209.76/x
  3. Step 3: Cross multiply
    498.48x = 746.96 × 209.76
  4. Step 4: Simplify right side
    498.48x = 156,682.33
  5. Step 5: Solve for x
    x = 156,682.33/498.48
  6. Step 6: Final answer
    x = 314.32

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