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Finding the Fourth Proportional to 374.49, 516.78 and 217.17

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Solution

The fourth proportional to 374.49, 516.78 and 217.17 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.49 : 516.78 = 217.17 : x
  2. Step 2: Convert to fraction form
    374.49/516.78 = 217.17/x
  3. Step 3: Cross multiply
    374.49x = 516.78 × 217.17
  4. Step 4: Simplify right side
    374.49x = 112,229.11
  5. Step 5: Solve for x
    x = 112,229.11/374.49
  6. Step 6: Final answer
    x = 299.69

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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.