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Finding the Fourth Proportional to 397.68, 596.44 and 123.71

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Solution

The fourth proportional to 397.68, 596.44 and 123.71 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 596.44 = 123.71 : x
  2. Step 2: Convert to fraction form
    397.68/596.44 = 123.71/x
  3. Step 3: Cross multiply
    397.68x = 596.44 × 123.71
  4. Step 4: Simplify right side
    397.68x = 73,781.99
  5. Step 5: Solve for x
    x = 73,781.99/397.68
  6. Step 6: Final answer
    x = 185.53

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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.