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Finding the Fourth Proportional to 280.29, 421 and 170.71

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Solution

The fourth proportional to 280.29, 421 and 170.71 is: 256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.29 : 421 = 170.71 : x
  2. Step 2: Convert to fraction form
    280.29/421 = 170.71/x
  3. Step 3: Cross multiply
    280.29x = 421 × 170.71
  4. Step 4: Simplify right side
    280.29x = 71,868.91
  5. Step 5: Solve for x
    x = 71,868.91/280.29
  6. Step 6: Final answer
    x = 256.41

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