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Finding the Fourth Proportional to 396.84, 593.12 and 304.56

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Solution

The fourth proportional to 396.84, 593.12 and 304.56 is: 455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 593.12 = 304.56 : x
  2. Step 2: Convert to fraction form
    396.84/593.12 = 304.56/x
  3. Step 3: Cross multiply
    396.84x = 593.12 × 304.56
  4. Step 4: Simplify right side
    396.84x = 180,640.63
  5. Step 5: Solve for x
    x = 180,640.63/396.84
  6. Step 6: Final answer
    x = 455.20

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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.