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Finding the Fourth Proportional to 537.47, 806.21 and 172.53

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Solution

The fourth proportional to 537.47, 806.21 and 172.53 is: 258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.47 : 806.21 = 172.53 : x
  2. Step 2: Convert to fraction form
    537.47/806.21 = 172.53/x
  3. Step 3: Cross multiply
    537.47x = 806.21 × 172.53
  4. Step 4: Simplify right side
    537.47x = 139,095.41
  5. Step 5: Solve for x
    x = 139,095.41/537.47
  6. Step 6: Final answer
    x = 258.80

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