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Finding the Fourth Proportional to 538.78, 743.49 and 305.98

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Solution

The fourth proportional to 538.78, 743.49 and 305.98 is: 422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.78 : 743.49 = 305.98 : x
  2. Step 2: Convert to fraction form
    538.78/743.49 = 305.98/x
  3. Step 3: Cross multiply
    538.78x = 743.49 × 305.98
  4. Step 4: Simplify right side
    538.78x = 227,493.07
  5. Step 5: Solve for x
    x = 227,493.07/538.78
  6. Step 6: Final answer
    x = 422.24

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