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Finding the Fourth Proportional to 537.80, 741 and 362.84

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Solution

The fourth proportional to 537.80, 741 and 362.84 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 741 = 362.84 : x
  2. Step 2: Convert to fraction form
    537.80/741 = 362.84/x
  3. Step 3: Cross multiply
    537.80x = 741 × 362.84
  4. Step 4: Simplify right side
    537.80x = 268,864.44
  5. Step 5: Solve for x
    x = 268,864.44/537.80
  6. Step 6: Final answer
    x = 499.93

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