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Finding the Fourth Proportional to 427.47, 641.10 and 196.29

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Solution

The fourth proportional to 427.47, 641.10 and 196.29 is: 294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.47 : 641.10 = 196.29 : x
  2. Step 2: Convert to fraction form
    427.47/641.10 = 196.29/x
  3. Step 3: Cross multiply
    427.47x = 641.10 × 196.29
  4. Step 4: Simplify right side
    427.47x = 125,841.52
  5. Step 5: Solve for x
    x = 125,841.52/427.47
  6. Step 6: Final answer
    x = 294.39

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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.