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Finding the Fourth Proportional to 396.84, 591.92 and 384.69

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Solution

The fourth proportional to 396.84, 591.92 and 384.69 is: 573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 591.92 = 384.69 : x
  2. Step 2: Convert to fraction form
    396.84/591.92 = 384.69/x
  3. Step 3: Cross multiply
    396.84x = 591.92 × 384.69
  4. Step 4: Simplify right side
    396.84x = 227,703.78
  5. Step 5: Solve for x
    x = 227,703.78/396.84
  6. Step 6: Final answer
    x = 573.79

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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.