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Finding the Fourth Proportional to 419.28, 628.72 and 175.76

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Solution

The fourth proportional to 419.28, 628.72 and 175.76 is: 263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 628.72 = 175.76 : x
  2. Step 2: Convert to fraction form
    419.28/628.72 = 175.76/x
  3. Step 3: Cross multiply
    419.28x = 628.72 × 175.76
  4. Step 4: Simplify right side
    419.28x = 110,503.83
  5. Step 5: Solve for x
    x = 110,503.83/419.28
  6. Step 6: Final answer
    x = 263.56

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