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Finding the Fourth Proportional to 427.49, 641.10 and 211.22

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Solution

The fourth proportional to 427.49, 641.10 and 211.22 is: 316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.49 : 641.10 = 211.22 : x
  2. Step 2: Convert to fraction form
    427.49/641.10 = 211.22/x
  3. Step 3: Cross multiply
    427.49x = 641.10 × 211.22
  4. Step 4: Simplify right side
    427.49x = 135,413.14
  5. Step 5: Solve for x
    x = 135,413.14/427.49
  6. Step 6: Final answer
    x = 316.76

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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.