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Finding the Fourth Proportional to 402.99, 604.85 and 249.21

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Solution

The fourth proportional to 402.99, 604.85 and 249.21 is: 374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.99 : 604.85 = 249.21 : x
  2. Step 2: Convert to fraction form
    402.99/604.85 = 249.21/x
  3. Step 3: Cross multiply
    402.99x = 604.85 × 249.21
  4. Step 4: Simplify right side
    402.99x = 150,734.67
  5. Step 5: Solve for x
    x = 150,734.67/402.99
  6. Step 6: Final answer
    x = 374.04

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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.