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Finding the Fourth Proportional to 585.81, 878.68 and 174.95

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Solution

The fourth proportional to 585.81, 878.68 and 174.95 is: 262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.81 : 878.68 = 174.95 : x
  2. Step 2: Convert to fraction form
    585.81/878.68 = 174.95/x
  3. Step 3: Cross multiply
    585.81x = 878.68 × 174.95
  4. Step 4: Simplify right side
    585.81x = 153,720.24
  5. Step 5: Solve for x
    x = 153,720.24/585.81
  6. Step 6: Final answer
    x = 262.41

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