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Finding the Fourth Proportional to 285.41, 428.12 and 79.97

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Solution

The fourth proportional to 285.41, 428.12 and 79.97 is: 119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.41 : 428.12 = 79.97 : x
  2. Step 2: Convert to fraction form
    285.41/428.12 = 79.97/x
  3. Step 3: Cross multiply
    285.41x = 428.12 × 79.97
  4. Step 4: Simplify right side
    285.41x = 34,236.76
  5. Step 5: Solve for x
    x = 34,236.76/285.41
  6. Step 6: Final answer
    x = 119.96

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Why These Related Problems?

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