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Finding the Fourth Proportional to 396.89, 595.41 and 202

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Solution

The fourth proportional to 396.89, 595.41 and 202 is: 303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.89 : 595.41 = 202 : x
  2. Step 2: Convert to fraction form
    396.89/595.41 = 202/x
  3. Step 3: Cross multiply
    396.89x = 595.41 × 202
  4. Step 4: Simplify right side
    396.89x = 120,272.82
  5. Step 5: Solve for x
    x = 120,272.82/396.89
  6. Step 6: Final answer
    x = 303.04

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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.