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Finding the Fourth Proportional to 640.75, 884.65 and 405.02

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Solution

The fourth proportional to 640.75, 884.65 and 405.02 is: 559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.75 : 884.65 = 405.02 : x
  2. Step 2: Convert to fraction form
    640.75/884.65 = 405.02/x
  3. Step 3: Cross multiply
    640.75x = 884.65 × 405.02
  4. Step 4: Simplify right side
    640.75x = 358,300.94
  5. Step 5: Solve for x
    x = 358,300.94/640.75
  6. Step 6: Final answer
    x = 559.19

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