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Finding the Fourth Proportional to 319, 440.42 and 208.78

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Solution

The fourth proportional to 319, 440.42 and 208.78 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 440.42 = 208.78 : x
  2. Step 2: Convert to fraction form
    319/440.42 = 208.78/x
  3. Step 3: Cross multiply
    319x = 440.42 × 208.78
  4. Step 4: Simplify right side
    319x = 91,950.89
  5. Step 5: Solve for x
    x = 91,950.89/319
  6. Step 6: Final answer
    x = 288.25

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