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Finding the Fourth Proportional to 902.44, 1,353.22 and 415.32

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Solution

The fourth proportional to 902.44, 1,353.22 and 415.32 is: 622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.44 : 1,353.22 = 415.32 : x
  2. Step 2: Convert to fraction form
    902.44/1,353.22 = 415.32/x
  3. Step 3: Cross multiply
    902.44x = 1,353.22 × 415.32
  4. Step 4: Simplify right side
    902.44x = 562,019.33
  5. Step 5: Solve for x
    x = 562,019.33/902.44
  6. Step 6: Final answer
    x = 622.78

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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.