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Finding the Fourth Proportional to 285.49, 428.24 and 80.03

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Solution

The fourth proportional to 285.49, 428.24 and 80.03 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.49 : 428.24 = 80.03 : x
  2. Step 2: Convert to fraction form
    285.49/428.24 = 80.03/x
  3. Step 3: Cross multiply
    285.49x = 428.24 × 80.03
  4. Step 4: Simplify right side
    285.49x = 34,273.02
  5. Step 5: Solve for x
    x = 34,273.02/285.49
  6. Step 6: Final answer
    x = 120.05

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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.