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Finding the Fourth Proportional to 536.38, 804.68 and 189.74

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Solution

The fourth proportional to 536.38, 804.68 and 189.74 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.38 : 804.68 = 189.74 : x
  2. Step 2: Convert to fraction form
    536.38/804.68 = 189.74/x
  3. Step 3: Cross multiply
    536.38x = 804.68 × 189.74
  4. Step 4: Simplify right side
    536.38x = 152,679.98
  5. Step 5: Solve for x
    x = 152,679.98/536.38
  6. Step 6: Final answer
    x = 284.65

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