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Finding the Fourth Proportional to 396.41, 594.71 and 165.36

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Solution

The fourth proportional to 396.41, 594.71 and 165.36 is: 248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.41 : 594.71 = 165.36 : x
  2. Step 2: Convert to fraction form
    396.41/594.71 = 165.36/x
  3. Step 3: Cross multiply
    396.41x = 594.71 × 165.36
  4. Step 4: Simplify right side
    396.41x = 98,341.25
  5. Step 5: Solve for x
    x = 98,341.25/396.41
  6. Step 6: Final answer
    x = 248.08

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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.