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Finding the Fourth Proportional to 397.33, 595.96 and 123.44

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Solution

The fourth proportional to 397.33, 595.96 and 123.44 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.33 : 595.96 = 123.44 : x
  2. Step 2: Convert to fraction form
    397.33/595.96 = 123.44/x
  3. Step 3: Cross multiply
    397.33x = 595.96 × 123.44
  4. Step 4: Simplify right side
    397.33x = 73,562.01
  5. Step 5: Solve for x
    x = 73,562.01/397.33
  6. Step 6: Final answer
    x = 185.14

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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.