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Finding the Fourth Proportional to 396.64, 594.96 and 108.10

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Solution

The fourth proportional to 396.64, 594.96 and 108.10 is: 162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.64 : 594.96 = 108.10 : x
  2. Step 2: Convert to fraction form
    396.64/594.96 = 108.10/x
  3. Step 3: Cross multiply
    396.64x = 594.96 × 108.10
  4. Step 4: Simplify right side
    396.64x = 64,315.18
  5. Step 5: Solve for x
    x = 64,315.18/396.64
  6. Step 6: Final answer
    x = 162.15

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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.