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Finding the Fourth Proportional to 543.12, 814.61 and 213.83

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Solution

The fourth proportional to 543.12, 814.61 and 213.83 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.12 : 814.61 = 213.83 : x
  2. Step 2: Convert to fraction form
    543.12/814.61 = 213.83/x
  3. Step 3: Cross multiply
    543.12x = 814.61 × 213.83
  4. Step 4: Simplify right side
    543.12x = 174,186.37
  5. Step 5: Solve for x
    x = 174,186.37/543.12
  6. Step 6: Final answer
    x = 320.71

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