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Finding the Fourth Proportional to 402.82, 604.24 and 197.36

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Solution

The fourth proportional to 402.82, 604.24 and 197.36 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 604.24 = 197.36 : x
  2. Step 2: Convert to fraction form
    402.82/604.24 = 197.36/x
  3. Step 3: Cross multiply
    402.82x = 604.24 × 197.36
  4. Step 4: Simplify right side
    402.82x = 119,252.81
  5. Step 5: Solve for x
    x = 119,252.81/402.82
  6. Step 6: Final answer
    x = 296.04

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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.