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Finding the Fourth Proportional to 584.85, 877.43 and 194.91

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Solution

The fourth proportional to 584.85, 877.43 and 194.91 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.85 : 877.43 = 194.91 : x
  2. Step 2: Convert to fraction form
    584.85/877.43 = 194.91/x
  3. Step 3: Cross multiply
    584.85x = 877.43 × 194.91
  4. Step 4: Simplify right side
    584.85x = 171,022.56
  5. Step 5: Solve for x
    x = 171,022.56/584.85
  6. Step 6: Final answer
    x = 292.42

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