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Finding the Fourth Proportional to 402.70, 604.19 and 248.42

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Solution

The fourth proportional to 402.70, 604.19 and 248.42 is: 372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.70 : 604.19 = 248.42 : x
  2. Step 2: Convert to fraction form
    402.70/604.19 = 248.42/x
  3. Step 3: Cross multiply
    402.70x = 604.19 × 248.42
  4. Step 4: Simplify right side
    402.70x = 150,092.88
  5. Step 5: Solve for x
    x = 150,092.88/402.70
  6. Step 6: Final answer
    x = 372.72

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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.