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Finding the Fourth Proportional to 548.81, 823.55 and 288.96

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Solution

The fourth proportional to 548.81, 823.55 and 288.96 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.81 : 823.55 = 288.96 : x
  2. Step 2: Convert to fraction form
    548.81/823.55 = 288.96/x
  3. Step 3: Cross multiply
    548.81x = 823.55 × 288.96
  4. Step 4: Simplify right side
    548.81x = 237,973.01
  5. Step 5: Solve for x
    x = 237,973.01/548.81
  6. Step 6: Final answer
    x = 433.62

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