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Finding the Fourth Proportional to 584.67, 876.81 and 214.41

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Solution

The fourth proportional to 584.67, 876.81 and 214.41 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.67 : 876.81 = 214.41 : x
  2. Step 2: Convert to fraction form
    584.67/876.81 = 214.41/x
  3. Step 3: Cross multiply
    584.67x = 876.81 × 214.41
  4. Step 4: Simplify right side
    584.67x = 187,996.83
  5. Step 5: Solve for x
    x = 187,996.83/584.67
  6. Step 6: Final answer
    x = 321.54

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