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Finding the Fourth Proportional to 584.56, 876.78 and 391.78

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Solution

The fourth proportional to 584.56, 876.78 and 391.78 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.56 : 876.78 = 391.78 : x
  2. Step 2: Convert to fraction form
    584.56/876.78 = 391.78/x
  3. Step 3: Cross multiply
    584.56x = 876.78 × 391.78
  4. Step 4: Simplify right side
    584.56x = 343,504.87
  5. Step 5: Solve for x
    x = 343,504.87/584.56
  6. Step 6: Final answer
    x = 587.63

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