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Finding the Fourth Proportional to 396.96, 595.46 and 123.10

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Solution

The fourth proportional to 396.96, 595.46 and 123.10 is: 184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.96 : 595.46 = 123.10 : x
  2. Step 2: Convert to fraction form
    396.96/595.46 = 123.10/x
  3. Step 3: Cross multiply
    396.96x = 595.46 × 123.10
  4. Step 4: Simplify right side
    396.96x = 73,301.13
  5. Step 5: Solve for x
    x = 73,301.13/396.96
  6. Step 6: Final answer
    x = 184.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.