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Finding the Fourth Proportional to 283.28, 391.52 and 221.28

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Solution

The fourth proportional to 283.28, 391.52 and 221.28 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.28 : 391.52 = 221.28 : x
  2. Step 2: Convert to fraction form
    283.28/391.52 = 221.28/x
  3. Step 3: Cross multiply
    283.28x = 391.52 × 221.28
  4. Step 4: Simplify right side
    283.28x = 86,635.55
  5. Step 5: Solve for x
    x = 86,635.55/283.28
  6. Step 6: Final answer
    x = 305.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.