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Finding the Fourth Proportional to 396.66, 594.92 and 108.10

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Solution

The fourth proportional to 396.66, 594.92 and 108.10 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.66 : 594.92 = 108.10 : x
  2. Step 2: Convert to fraction form
    396.66/594.92 = 108.10/x
  3. Step 3: Cross multiply
    396.66x = 594.92 × 108.10
  4. Step 4: Simplify right side
    396.66x = 64,309.63
  5. Step 5: Solve for x
    x = 64,309.63/396.66
  6. Step 6: Final answer
    x = 162.13

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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.