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Finding the Fourth Proportional to 537.84, 806.59 and 172.55

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Solution

The fourth proportional to 537.84, 806.59 and 172.55 is: 258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 806.59 = 172.55 : x
  2. Step 2: Convert to fraction form
    537.84/806.59 = 172.55/x
  3. Step 3: Cross multiply
    537.84x = 806.59 × 172.55
  4. Step 4: Simplify right side
    537.84x = 139,174.80
  5. Step 5: Solve for x
    x = 139,174.80/537.84
  6. Step 6: Final answer
    x = 258.77

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