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Finding the Fourth Proportional to 535.82, 803.42 and 261.57

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Solution

The fourth proportional to 535.82, 803.42 and 261.57 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 803.42 = 261.57 : x
  2. Step 2: Convert to fraction form
    535.82/803.42 = 261.57/x
  3. Step 3: Cross multiply
    535.82x = 803.42 × 261.57
  4. Step 4: Simplify right side
    535.82x = 210,150.57
  5. Step 5: Solve for x
    x = 210,150.57/535.82
  6. Step 6: Final answer
    x = 392.20

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