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Finding the Fourth Proportional to 396.18, 597.20 and 379.70

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Solution

The fourth proportional to 396.18, 597.20 and 379.70 is: 572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.18 : 597.20 = 379.70 : x
  2. Step 2: Convert to fraction form
    396.18/597.20 = 379.70/x
  3. Step 3: Cross multiply
    396.18x = 597.20 × 379.70
  4. Step 4: Simplify right side
    396.18x = 226,756.84
  5. Step 5: Solve for x
    x = 226,756.84/396.18
  6. Step 6: Final answer
    x = 572.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.