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Finding the Fourth Proportional to 412.68, 615.37 and 408.97

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Solution

The fourth proportional to 412.68, 615.37 and 408.97 is: 609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 615.37 = 408.97 : x
  2. Step 2: Convert to fraction form
    412.68/615.37 = 408.97/x
  3. Step 3: Cross multiply
    412.68x = 615.37 × 408.97
  4. Step 4: Simplify right side
    412.68x = 251,667.87
  5. Step 5: Solve for x
    x = 251,667.87/412.68
  6. Step 6: Final answer
    x = 609.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.