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Finding the Fourth Proportional to 396.72, 592.44 and 392.42

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Solution

The fourth proportional to 396.72, 592.44 and 392.42 is: 586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.72 : 592.44 = 392.42 : x
  2. Step 2: Convert to fraction form
    396.72/592.44 = 392.42/x
  3. Step 3: Cross multiply
    396.72x = 592.44 × 392.42
  4. Step 4: Simplify right side
    396.72x = 232,485.31
  5. Step 5: Solve for x
    x = 232,485.31/396.72
  6. Step 6: Final answer
    x = 586.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.