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Finding the Fourth Proportional to 374.82, 517.22 and 217.42

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Solution

The fourth proportional to 374.82, 517.22 and 217.42 is: 300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.82 : 517.22 = 217.42 : x
  2. Step 2: Convert to fraction form
    374.82/517.22 = 217.42/x
  3. Step 3: Cross multiply
    374.82x = 517.22 × 217.42
  4. Step 4: Simplify right side
    374.82x = 112,453.97
  5. Step 5: Solve for x
    x = 112,453.97/374.82
  6. Step 6: Final answer
    x = 300.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.