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Finding the Fourth Proportional to 423.82, 584.56 and 283.90

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Solution

The fourth proportional to 423.82, 584.56 and 283.90 is: 391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.82 : 584.56 = 283.90 : x
  2. Step 2: Convert to fraction form
    423.82/584.56 = 283.90/x
  3. Step 3: Cross multiply
    423.82x = 584.56 × 283.90
  4. Step 4: Simplify right side
    423.82x = 165,956.58
  5. Step 5: Solve for x
    x = 165,956.58/423.82
  6. Step 6: Final answer
    x = 391.57

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