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Finding the Fourth Proportional to 585.75, 878.56 and 152.94

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Solution

The fourth proportional to 585.75, 878.56 and 152.94 is: 229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.75 : 878.56 = 152.94 : x
  2. Step 2: Convert to fraction form
    585.75/878.56 = 152.94/x
  3. Step 3: Cross multiply
    585.75x = 878.56 × 152.94
  4. Step 4: Simplify right side
    585.75x = 134,366.97
  5. Step 5: Solve for x
    x = 134,366.97/585.75
  6. Step 6: Final answer
    x = 229.39

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