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Finding the Fourth Proportional to 396.90, 594.53 and 234.19

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Solution

The fourth proportional to 396.90, 594.53 and 234.19 is: 350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 594.53 = 234.19 : x
  2. Step 2: Convert to fraction form
    396.90/594.53 = 234.19/x
  3. Step 3: Cross multiply
    396.90x = 594.53 × 234.19
  4. Step 4: Simplify right side
    396.90x = 139,232.08
  5. Step 5: Solve for x
    x = 139,232.08/396.90
  6. Step 6: Final answer
    x = 350.80

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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.