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Finding the Fourth Proportional to 397.47, 596.19 and 123.59

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Solution

The fourth proportional to 397.47, 596.19 and 123.59 is: 185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.47 : 596.19 = 123.59 : x
  2. Step 2: Convert to fraction form
    397.47/596.19 = 123.59/x
  3. Step 3: Cross multiply
    397.47x = 596.19 × 123.59
  4. Step 4: Simplify right side
    397.47x = 73,680.14
  5. Step 5: Solve for x
    x = 73,680.14/397.47
  6. Step 6: Final answer
    x = 185.37

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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.