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Finding the Fourth Proportional to 537.41, 806.79 and 364.84

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Solution

The fourth proportional to 537.41, 806.79 and 364.84 is: 547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.41 : 806.79 = 364.84 : x
  2. Step 2: Convert to fraction form
    537.41/806.79 = 364.84/x
  3. Step 3: Cross multiply
    537.41x = 806.79 × 364.84
  4. Step 4: Simplify right side
    537.41x = 294,349.26
  5. Step 5: Solve for x
    x = 294,349.26/537.41
  6. Step 6: Final answer
    x = 547.72

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