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Finding the Fourth Proportional to 538.11, 807.43 and 213.75

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Solution

The fourth proportional to 538.11, 807.43 and 213.75 is: 320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.11 : 807.43 = 213.75 : x
  2. Step 2: Convert to fraction form
    538.11/807.43 = 213.75/x
  3. Step 3: Cross multiply
    538.11x = 807.43 × 213.75
  4. Step 4: Simplify right side
    538.11x = 172,588.16
  5. Step 5: Solve for x
    x = 172,588.16/538.11
  6. Step 6: Final answer
    x = 320.73

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