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Finding the Fourth Proportional to 536.65, 804.91 and 171.46

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Solution

The fourth proportional to 536.65, 804.91 and 171.46 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.65 : 804.91 = 171.46 : x
  2. Step 2: Convert to fraction form
    536.65/804.91 = 171.46/x
  3. Step 3: Cross multiply
    536.65x = 804.91 × 171.46
  4. Step 4: Simplify right side
    536.65x = 138,009.01
  5. Step 5: Solve for x
    x = 138,009.01/536.65
  6. Step 6: Final answer
    x = 257.17

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