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Finding the Fourth Proportional to 285.97, 428.97 and 80.56

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Solution

The fourth proportional to 285.97, 428.97 and 80.56 is: 120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.97 : 428.97 = 80.56 : x
  2. Step 2: Convert to fraction form
    285.97/428.97 = 80.56/x
  3. Step 3: Cross multiply
    285.97x = 428.97 × 80.56
  4. Step 4: Simplify right side
    285.97x = 34,557.82
  5. Step 5: Solve for x
    x = 34,557.82/285.97
  6. Step 6: Final answer
    x = 120.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.