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Finding the Fourth Proportional to 548.84, 823.80 and 305.54

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Solution

The fourth proportional to 548.84, 823.80 and 305.54 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.84 : 823.80 = 305.54 : x
  2. Step 2: Convert to fraction form
    548.84/823.80 = 305.54/x
  3. Step 3: Cross multiply
    548.84x = 823.80 × 305.54
  4. Step 4: Simplify right side
    548.84x = 251,703.85
  5. Step 5: Solve for x
    x = 251,703.85/548.84
  6. Step 6: Final answer
    x = 458.61

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