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Finding the Fourth Proportional to 902.20, 1,353.02 and 252.96

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Solution

The fourth proportional to 902.20, 1,353.02 and 252.96 is: 379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.20 : 1,353.02 = 252.96 : x
  2. Step 2: Convert to fraction form
    902.20/1,353.02 = 252.96/x
  3. Step 3: Cross multiply
    902.20x = 1,353.02 × 252.96
  4. Step 4: Simplify right side
    902.20x = 342,259.94
  5. Step 5: Solve for x
    x = 342,259.94/902.20
  6. Step 6: Final answer
    x = 379.36

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Double scale
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1.5x scale

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.