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Finding the Fourth Proportional to 397.57, 596.37 and 123.66

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Solution

The fourth proportional to 397.57, 596.37 and 123.66 is: 185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.57 : 596.37 = 123.66 : x
  2. Step 2: Convert to fraction form
    397.57/596.37 = 123.66/x
  3. Step 3: Cross multiply
    397.57x = 596.37 × 123.66
  4. Step 4: Simplify right side
    397.57x = 73,746.50
  5. Step 5: Solve for x
    x = 73,746.50/397.57
  6. Step 6: Final answer
    x = 185.49

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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.