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Finding the Fourth Proportional to 538.26, 807.42 and 213.86

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Solution

The fourth proportional to 538.26, 807.42 and 213.86 is: 320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.26 : 807.42 = 213.86 : x
  2. Step 2: Convert to fraction form
    538.26/807.42 = 213.86/x
  3. Step 3: Cross multiply
    538.26x = 807.42 × 213.86
  4. Step 4: Simplify right side
    538.26x = 172,674.84
  5. Step 5: Solve for x
    x = 172,674.84/538.26
  6. Step 6: Final answer
    x = 320.80

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