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Finding the Fourth Proportional to 538.47, 807.40 and 173.16

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Solution

The fourth proportional to 538.47, 807.40 and 173.16 is: 259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 807.40 = 173.16 : x
  2. Step 2: Convert to fraction form
    538.47/807.40 = 173.16/x
  3. Step 3: Cross multiply
    538.47x = 807.40 × 173.16
  4. Step 4: Simplify right side
    538.47x = 139,809.38
  5. Step 5: Solve for x
    x = 139,809.38/538.47
  6. Step 6: Final answer
    x = 259.64

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