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Finding the Fourth Proportional to 397.74, 596.63 and 123.83

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Solution

The fourth proportional to 397.74, 596.63 and 123.83 is: 185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 596.63 = 123.83 : x
  2. Step 2: Convert to fraction form
    397.74/596.63 = 123.83/x
  3. Step 3: Cross multiply
    397.74x = 596.63 × 123.83
  4. Step 4: Simplify right side
    397.74x = 73,877.09
  5. Step 5: Solve for x
    x = 73,877.09/397.74
  6. Step 6: Final answer
    x = 185.74

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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.