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Finding the Fourth Proportional to 468.58, 646.64 and 255.90

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Solution

The fourth proportional to 468.58, 646.64 and 255.90 is: 353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.58 : 646.64 = 255.90 : x
  2. Step 2: Convert to fraction form
    468.58/646.64 = 255.90/x
  3. Step 3: Cross multiply
    468.58x = 646.64 × 255.90
  4. Step 4: Simplify right side
    468.58x = 165,475.18
  5. Step 5: Solve for x
    x = 165,475.18/468.58
  6. Step 6: Final answer
    x = 353.14

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