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Finding the Fourth Proportional to 468.53, 646.57 and 255.84

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Solution

The fourth proportional to 468.53, 646.57 and 255.84 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.53 : 646.57 = 255.84 : x
  2. Step 2: Convert to fraction form
    468.53/646.57 = 255.84/x
  3. Step 3: Cross multiply
    468.53x = 646.57 × 255.84
  4. Step 4: Simplify right side
    468.53x = 165,418.72
  5. Step 5: Solve for x
    x = 165,418.72/468.53
  6. Step 6: Final answer
    x = 353.06

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