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Finding the Fourth Proportional to 626.56, 864.64 and 346.80

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Solution

The fourth proportional to 626.56, 864.64 and 346.80 is: 478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.56 : 864.64 = 346.80 : x
  2. Step 2: Convert to fraction form
    626.56/864.64 = 346.80/x
  3. Step 3: Cross multiply
    626.56x = 864.64 × 346.80
  4. Step 4: Simplify right side
    626.56x = 299,857.15
  5. Step 5: Solve for x
    x = 299,857.15/626.56
  6. Step 6: Final answer
    x = 478.58

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