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Finding the Fourth Proportional to 498.27, 747.13 and 205.69

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Solution

The fourth proportional to 498.27, 747.13 and 205.69 is: 308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.27 : 747.13 = 205.69 : x
  2. Step 2: Convert to fraction form
    498.27/747.13 = 205.69/x
  3. Step 3: Cross multiply
    498.27x = 747.13 × 205.69
  4. Step 4: Simplify right side
    498.27x = 153,677.17
  5. Step 5: Solve for x
    x = 153,677.17/498.27
  6. Step 6: Final answer
    x = 308.42

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