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Finding the Fourth Proportional to 402.82, 604.29 and 197.40

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Solution

The fourth proportional to 402.82, 604.29 and 197.40 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 604.29 = 197.40 : x
  2. Step 2: Convert to fraction form
    402.82/604.29 = 197.40/x
  3. Step 3: Cross multiply
    402.82x = 604.29 × 197.40
  4. Step 4: Simplify right side
    402.82x = 119,289.85
  5. Step 5: Solve for x
    x = 119,289.85/402.82
  6. Step 6: Final answer
    x = 296.13

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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.