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Finding the Fourth Proportional to 538.83, 808.97 and 319.86

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Solution

The fourth proportional to 538.83, 808.97 and 319.86 is: 480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.83 : 808.97 = 319.86 : x
  2. Step 2: Convert to fraction form
    538.83/808.97 = 319.86/x
  3. Step 3: Cross multiply
    538.83x = 808.97 × 319.86
  4. Step 4: Simplify right side
    538.83x = 258,755.54
  5. Step 5: Solve for x
    x = 258,755.54/538.83
  6. Step 6: Final answer
    x = 480.22

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