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Finding the Fourth Proportional to 585.85, 878.36 and 277.53

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Solution

The fourth proportional to 585.85, 878.36 and 277.53 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.85 : 878.36 = 277.53 : x
  2. Step 2: Convert to fraction form
    585.85/878.36 = 277.53/x
  3. Step 3: Cross multiply
    585.85x = 878.36 × 277.53
  4. Step 4: Simplify right side
    585.85x = 243,768.13
  5. Step 5: Solve for x
    x = 243,768.13/585.85
  6. Step 6: Final answer
    x = 416.09

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