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Finding the Fourth Proportional to 285.45, 428.20 and 80.02

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Solution

The fourth proportional to 285.45, 428.20 and 80.02 is: 120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.45 : 428.20 = 80.02 : x
  2. Step 2: Convert to fraction form
    285.45/428.20 = 80.02/x
  3. Step 3: Cross multiply
    285.45x = 428.20 × 80.02
  4. Step 4: Simplify right side
    285.45x = 34,264.56
  5. Step 5: Solve for x
    x = 34,264.56/285.45
  6. Step 6: Final answer
    x = 120.04

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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.