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Finding the Fourth Proportional to 538.78, 808.26 and 214.15

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Solution

The fourth proportional to 538.78, 808.26 and 214.15 is: 321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.78 : 808.26 = 214.15 : x
  2. Step 2: Convert to fraction form
    538.78/808.26 = 214.15/x
  3. Step 3: Cross multiply
    538.78x = 808.26 × 214.15
  4. Step 4: Simplify right side
    538.78x = 173,088.88
  5. Step 5: Solve for x
    x = 173,088.88/538.78
  6. Step 6: Final answer
    x = 321.26

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