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Finding the Fourth Proportional to 419.56, 629.16 and 175.92

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Solution

The fourth proportional to 419.56, 629.16 and 175.92 is: 263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.56 : 629.16 = 175.92 : x
  2. Step 2: Convert to fraction form
    419.56/629.16 = 175.92/x
  3. Step 3: Cross multiply
    419.56x = 629.16 × 175.92
  4. Step 4: Simplify right side
    419.56x = 110,681.83
  5. Step 5: Solve for x
    x = 110,681.83/419.56
  6. Step 6: Final answer
    x = 263.80

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