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Finding the Fourth Proportional to 402.25, 604.75 and 265.57

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Solution

The fourth proportional to 402.25, 604.75 and 265.57 is: 399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.25 : 604.75 = 265.57 : x
  2. Step 2: Convert to fraction form
    402.25/604.75 = 265.57/x
  3. Step 3: Cross multiply
    402.25x = 604.75 × 265.57
  4. Step 4: Simplify right side
    402.25x = 160,603.46
  5. Step 5: Solve for x
    x = 160,603.46/402.25
  6. Step 6: Final answer
    x = 399.26

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