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Finding the Fourth Proportional to 498.80, 747.60 and 255.38

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Solution

The fourth proportional to 498.80, 747.60 and 255.38 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.80 : 747.60 = 255.38 : x
  2. Step 2: Convert to fraction form
    498.80/747.60 = 255.38/x
  3. Step 3: Cross multiply
    498.80x = 747.60 × 255.38
  4. Step 4: Simplify right side
    498.80x = 190,922.09
  5. Step 5: Solve for x
    x = 190,922.09/498.80
  6. Step 6: Final answer
    x = 382.76

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