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Finding the Fourth Proportional to 585.82, 878.74 and 174.86

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Solution

The fourth proportional to 585.82, 878.74 and 174.86 is: 262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 878.74 = 174.86 : x
  2. Step 2: Convert to fraction form
    585.82/878.74 = 174.86/x
  3. Step 3: Cross multiply
    585.82x = 878.74 × 174.86
  4. Step 4: Simplify right side
    585.82x = 153,658.24
  5. Step 5: Solve for x
    x = 153,658.24/585.82
  6. Step 6: Final answer
    x = 262.30

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