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Finding the Fourth Proportional to 397.68, 596.47 and 123.77

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Solution

The fourth proportional to 397.68, 596.47 and 123.77 is: 185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 596.47 = 123.77 : x
  2. Step 2: Convert to fraction form
    397.68/596.47 = 123.77/x
  3. Step 3: Cross multiply
    397.68x = 596.47 × 123.77
  4. Step 4: Simplify right side
    397.68x = 73,825.09
  5. Step 5: Solve for x
    x = 73,825.09/397.68
  6. Step 6: Final answer
    x = 185.64

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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.