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Finding the Fourth Proportional to 534.78, 802.56 and 226.72

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Solution

The fourth proportional to 534.78, 802.56 and 226.72 is: 340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.78 : 802.56 = 226.72 : x
  2. Step 2: Convert to fraction form
    534.78/802.56 = 226.72/x
  3. Step 3: Cross multiply
    534.78x = 802.56 × 226.72
  4. Step 4: Simplify right side
    534.78x = 181,955.27
  5. Step 5: Solve for x
    x = 181,955.27/534.78
  6. Step 6: Final answer
    x = 340.24

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