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Finding the Fourth Proportional to 420.14, 629.83 and 176.68

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Solution

The fourth proportional to 420.14, 629.83 and 176.68 is: 264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.14 : 629.83 = 176.68 : x
  2. Step 2: Convert to fraction form
    420.14/629.83 = 176.68/x
  3. Step 3: Cross multiply
    420.14x = 629.83 × 176.68
  4. Step 4: Simplify right side
    420.14x = 111,280.28
  5. Step 5: Solve for x
    x = 111,280.28/420.14
  6. Step 6: Final answer
    x = 264.86

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