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Finding the Fourth Proportional to 585.83, 878.47 and 174.82

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Solution

The fourth proportional to 585.83, 878.47 and 174.82 is: 262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 878.47 = 174.82 : x
  2. Step 2: Convert to fraction form
    585.83/878.47 = 174.82/x
  3. Step 3: Cross multiply
    585.83x = 878.47 × 174.82
  4. Step 4: Simplify right side
    585.83x = 153,574.13
  5. Step 5: Solve for x
    x = 153,574.13/585.83
  6. Step 6: Final answer
    x = 262.15

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