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Finding the Fourth Proportional to 396.50, 594.74 and 165.34

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Solution

The fourth proportional to 396.50, 594.74 and 165.34 is: 248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 594.74 = 165.34 : x
  2. Step 2: Convert to fraction form
    396.50/594.74 = 165.34/x
  3. Step 3: Cross multiply
    396.50x = 594.74 × 165.34
  4. Step 4: Simplify right side
    396.50x = 98,335.47
  5. Step 5: Solve for x
    x = 98,335.47/396.50
  6. Step 6: Final answer
    x = 248.01

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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.