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Finding the Fourth Proportional to 576.41, 796.31 and 377.71

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Solution

The fourth proportional to 576.41, 796.31 and 377.71 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.41 : 796.31 = 377.71 : x
  2. Step 2: Convert to fraction form
    576.41/796.31 = 377.71/x
  3. Step 3: Cross multiply
    576.41x = 796.31 × 377.71
  4. Step 4: Simplify right side
    576.41x = 300,771.83
  5. Step 5: Solve for x
    x = 300,771.83/576.41
  6. Step 6: Final answer
    x = 521.81

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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.