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Finding the Fourth Proportional to 382.09, 576.28 and 369.78

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Solution

The fourth proportional to 382.09, 576.28 and 369.78 is: 557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 576.28 = 369.78 : x
  2. Step 2: Convert to fraction form
    382.09/576.28 = 369.78/x
  3. Step 3: Cross multiply
    382.09x = 576.28 × 369.78
  4. Step 4: Simplify right side
    382.09x = 213,096.82
  5. Step 5: Solve for x
    x = 213,096.82/382.09
  6. Step 6: Final answer
    x = 557.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.