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Finding the Fourth Proportional to 800.83, 1,201.41 and 338.61

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Solution

The fourth proportional to 800.83, 1,201.41 and 338.61 is: 507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.83 : 1,201.41 = 338.61 : x
  2. Step 2: Convert to fraction form
    800.83/1,201.41 = 338.61/x
  3. Step 3: Cross multiply
    800.83x = 1,201.41 × 338.61
  4. Step 4: Simplify right side
    800.83x = 406,809.44
  5. Step 5: Solve for x
    x = 406,809.44/800.83
  6. Step 6: Final answer
    x = 507.98

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