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Finding the Fourth Proportional to 396.50, 593.93 and 180.23

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Solution

The fourth proportional to 396.50, 593.93 and 180.23 is: 269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 593.93 = 180.23 : x
  2. Step 2: Convert to fraction form
    396.50/593.93 = 180.23/x
  3. Step 3: Cross multiply
    396.50x = 593.93 × 180.23
  4. Step 4: Simplify right side
    396.50x = 107,041.48
  5. Step 5: Solve for x
    x = 107,041.48/396.50
  6. Step 6: Final answer
    x = 269.97

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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.