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Finding the Fourth Proportional to 538.14, 807.12 and 172.88

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Solution

The fourth proportional to 538.14, 807.12 and 172.88 is: 259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 807.12 = 172.88 : x
  2. Step 2: Convert to fraction form
    538.14/807.12 = 172.88/x
  3. Step 3: Cross multiply
    538.14x = 807.12 × 172.88
  4. Step 4: Simplify right side
    538.14x = 139,530.87
  5. Step 5: Solve for x
    x = 139,530.87/538.14
  6. Step 6: Final answer
    x = 259.28

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