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Finding the Fourth Proportional to 396.47, 594.69 and 165.35

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Solution

The fourth proportional to 396.47, 594.69 and 165.35 is: 248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.47 : 594.69 = 165.35 : x
  2. Step 2: Convert to fraction form
    396.47/594.69 = 165.35/x
  3. Step 3: Cross multiply
    396.47x = 594.69 × 165.35
  4. Step 4: Simplify right side
    396.47x = 98,331.99
  5. Step 5: Solve for x
    x = 98,331.99/396.47
  6. Step 6: Final answer
    x = 248.02

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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.