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Finding the Fourth Proportional to 402.97, 604.55 and 197.64

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Solution

The fourth proportional to 402.97, 604.55 and 197.64 is: 296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.97 : 604.55 = 197.64 : x
  2. Step 2: Convert to fraction form
    402.97/604.55 = 197.64/x
  3. Step 3: Cross multiply
    402.97x = 604.55 × 197.64
  4. Step 4: Simplify right side
    402.97x = 119,483.26
  5. Step 5: Solve for x
    x = 119,483.26/402.97
  6. Step 6: Final answer
    x = 296.51

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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.