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Finding the Fourth Proportional to 496.48, 744.81 and 171.76

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Solution

The fourth proportional to 496.48, 744.81 and 171.76 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.48 : 744.81 = 171.76 : x
  2. Step 2: Convert to fraction form
    496.48/744.81 = 171.76/x
  3. Step 3: Cross multiply
    496.48x = 744.81 × 171.76
  4. Step 4: Simplify right side
    496.48x = 127,928.57
  5. Step 5: Solve for x
    x = 127,928.57/496.48
  6. Step 6: Final answer
    x = 257.67

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