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Finding the Fourth Proportional to 395.82, 594.41 and 381.11

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Solution

The fourth proportional to 395.82, 594.41 and 381.11 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.82 : 594.41 = 381.11 : x
  2. Step 2: Convert to fraction form
    395.82/594.41 = 381.11/x
  3. Step 3: Cross multiply
    395.82x = 594.41 × 381.11
  4. Step 4: Simplify right side
    395.82x = 226,530.72
  5. Step 5: Solve for x
    x = 226,530.72/395.82
  6. Step 6: Final answer
    x = 572.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.