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Finding the Fourth Proportional to 396.74, 596.01 and 234.53

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Solution

The fourth proportional to 396.74, 596.01 and 234.53 is: 352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.74 : 596.01 = 234.53 : x
  2. Step 2: Convert to fraction form
    396.74/596.01 = 234.53/x
  3. Step 3: Cross multiply
    396.74x = 596.01 × 234.53
  4. Step 4: Simplify right side
    396.74x = 139,782.23
  5. Step 5: Solve for x
    x = 139,782.23/396.74
  6. Step 6: Final answer
    x = 352.33

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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.