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Finding the Fourth Proportional to 396.52, 593.94 and 366.16

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Solution

The fourth proportional to 396.52, 593.94 and 366.16 is: 548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.52 : 593.94 = 366.16 : x
  2. Step 2: Convert to fraction form
    396.52/593.94 = 366.16/x
  3. Step 3: Cross multiply
    396.52x = 593.94 × 366.16
  4. Step 4: Simplify right side
    396.52x = 217,477.07
  5. Step 5: Solve for x
    x = 217,477.07/396.52
  6. Step 6: Final answer
    x = 548.46

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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.