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Finding the Fourth Proportional to 538.67, 743.48 and 305.84

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Solution

The fourth proportional to 538.67, 743.48 and 305.84 is: 422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 743.48 = 305.84 : x
  2. Step 2: Convert to fraction form
    538.67/743.48 = 305.84/x
  3. Step 3: Cross multiply
    538.67x = 743.48 × 305.84
  4. Step 4: Simplify right side
    538.67x = 227,380.68
  5. Step 5: Solve for x
    x = 227,380.68/538.67
  6. Step 6: Final answer
    x = 422.12

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