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Finding the Fourth Proportional to 537.83, 806.66 and 208.92

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Solution

The fourth proportional to 537.83, 806.66 and 208.92 is: 313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.83 : 806.66 = 208.92 : x
  2. Step 2: Convert to fraction form
    537.83/806.66 = 208.92/x
  3. Step 3: Cross multiply
    537.83x = 806.66 × 208.92
  4. Step 4: Simplify right side
    537.83x = 168,527.41
  5. Step 5: Solve for x
    x = 168,527.41/537.83
  6. Step 6: Final answer
    x = 313.35

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