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Finding the Fourth Proportional to 396.51, 593.47 and 382.24

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Solution

The fourth proportional to 396.51, 593.47 and 382.24 is: 572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.51 : 593.47 = 382.24 : x
  2. Step 2: Convert to fraction form
    396.51/593.47 = 382.24/x
  3. Step 3: Cross multiply
    396.51x = 593.47 × 382.24
  4. Step 4: Simplify right side
    396.51x = 226,847.97
  5. Step 5: Solve for x
    x = 226,847.97/396.51
  6. Step 6: Final answer
    x = 572.11

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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.