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Finding the Fourth Proportional to 538.61, 743.24 and 305.73

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Solution

The fourth proportional to 538.61, 743.24 and 305.73 is: 421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.61 : 743.24 = 305.73 : x
  2. Step 2: Convert to fraction form
    538.61/743.24 = 305.73/x
  3. Step 3: Cross multiply
    538.61x = 743.24 × 305.73
  4. Step 4: Simplify right side
    538.61x = 227,229.24
  5. Step 5: Solve for x
    x = 227,229.24/538.61
  6. Step 6: Final answer
    x = 421.88

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