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Finding the Fourth Proportional to 355.78, 491 and 208.42

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Solution

The fourth proportional to 355.78, 491 and 208.42 is: 287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.78 : 491 = 208.42 : x
  2. Step 2: Convert to fraction form
    355.78/491 = 208.42/x
  3. Step 3: Cross multiply
    355.78x = 491 × 208.42
  4. Step 4: Simplify right side
    355.78x = 102,334.22
  5. Step 5: Solve for x
    x = 102,334.22/355.78
  6. Step 6: Final answer
    x = 287.63

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