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Finding the Fourth Proportional to 643.12, 964.85 and 277.82

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Solution

The fourth proportional to 643.12, 964.85 and 277.82 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.12 : 964.85 = 277.82 : x
  2. Step 2: Convert to fraction form
    643.12/964.85 = 277.82/x
  3. Step 3: Cross multiply
    643.12x = 964.85 × 277.82
  4. Step 4: Simplify right side
    643.12x = 268,054.63
  5. Step 5: Solve for x
    x = 268,054.63/643.12
  6. Step 6: Final answer
    x = 416.80

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