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Finding the Fourth Proportional to 375.27, 517.81 and 217.92

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Solution

The fourth proportional to 375.27, 517.81 and 217.92 is: 300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.27 : 517.81 = 217.92 : x
  2. Step 2: Convert to fraction form
    375.27/517.81 = 217.92/x
  3. Step 3: Cross multiply
    375.27x = 517.81 × 217.92
  4. Step 4: Simplify right side
    375.27x = 112,841.16
  5. Step 5: Solve for x
    x = 112,841.16/375.27
  6. Step 6: Final answer
    x = 300.69

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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.