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Finding the Fourth Proportional to 537.92, 805.76 and 281.60

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Solution

The fourth proportional to 537.92, 805.76 and 281.60 is: 421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.92 : 805.76 = 281.60 : x
  2. Step 2: Convert to fraction form
    537.92/805.76 = 281.60/x
  3. Step 3: Cross multiply
    537.92x = 805.76 × 281.60
  4. Step 4: Simplify right side
    537.92x = 226,902.02
  5. Step 5: Solve for x
    x = 226,902.02/537.92
  6. Step 6: Final answer
    x = 421.81

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