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Finding the Fourth Proportional to 902.33, 1,353.48 and 218.33

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Solution

The fourth proportional to 902.33, 1,353.48 and 218.33 is: 327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.33 : 1,353.48 = 218.33 : x
  2. Step 2: Convert to fraction form
    902.33/1,353.48 = 218.33/x
  3. Step 3: Cross multiply
    902.33x = 1,353.48 × 218.33
  4. Step 4: Simplify right side
    902.33x = 295,498.52
  5. Step 5: Solve for x
    x = 295,498.52/902.33
  6. Step 6: Final answer
    x = 327.49

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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.