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Finding the Fourth Proportional to 902.44, 1,353.45 and 286.03

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Solution

The fourth proportional to 902.44, 1,353.45 and 286.03 is: 428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.44 : 1,353.45 = 286.03 : x
  2. Step 2: Convert to fraction form
    902.44/1,353.45 = 286.03/x
  3. Step 3: Cross multiply
    902.44x = 1,353.45 × 286.03
  4. Step 4: Simplify right side
    902.44x = 387,120.85
  5. Step 5: Solve for x
    x = 387,120.85/902.44
  6. Step 6: Final answer
    x = 428.97

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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.