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Finding the Fourth Proportional to 602.33, 902.96 and 217.49

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Solution

The fourth proportional to 602.33, 902.96 and 217.49 is: 326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.33 : 902.96 = 217.49 : x
  2. Step 2: Convert to fraction form
    602.33/902.96 = 217.49/x
  3. Step 3: Cross multiply
    602.33x = 902.96 × 217.49
  4. Step 4: Simplify right side
    602.33x = 196,385.94
  5. Step 5: Solve for x
    x = 196,385.94/602.33
  6. Step 6: Final answer
    x = 326.04

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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.