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Finding the Fourth Proportional to 548.80, 823.80 and 305.56

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Solution

The fourth proportional to 548.80, 823.80 and 305.56 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 823.80 = 305.56 : x
  2. Step 2: Convert to fraction form
    548.80/823.80 = 305.56/x
  3. Step 3: Cross multiply
    548.80x = 823.80 × 305.56
  4. Step 4: Simplify right side
    548.80x = 251,720.33
  5. Step 5: Solve for x
    x = 251,720.33/548.80
  6. Step 6: Final answer
    x = 458.67

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