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Finding the Fourth Proportional to 396.22, 594.77 and 234.22

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Solution

The fourth proportional to 396.22, 594.77 and 234.22 is: 351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.22 : 594.77 = 234.22 : x
  2. Step 2: Convert to fraction form
    396.22/594.77 = 234.22/x
  3. Step 3: Cross multiply
    396.22x = 594.77 × 234.22
  4. Step 4: Simplify right side
    396.22x = 139,307.03
  5. Step 5: Solve for x
    x = 139,307.03/396.22
  6. Step 6: Final answer
    x = 351.59

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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.