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Finding the Fourth Proportional to 535.91, 804.24 and 275.76

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Solution

The fourth proportional to 535.91, 804.24 and 275.76 is: 413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.91 : 804.24 = 275.76 : x
  2. Step 2: Convert to fraction form
    535.91/804.24 = 275.76/x
  3. Step 3: Cross multiply
    535.91x = 804.24 × 275.76
  4. Step 4: Simplify right side
    535.91x = 221,777.22
  5. Step 5: Solve for x
    x = 221,777.22/535.91
  6. Step 6: Final answer
    x = 413.84

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