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Finding the Fourth Proportional to 412.38, 617.70 and 195.74

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Solution

The fourth proportional to 412.38, 617.70 and 195.74 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 617.70 = 195.74 : x
  2. Step 2: Convert to fraction form
    412.38/617.70 = 195.74/x
  3. Step 3: Cross multiply
    412.38x = 617.70 × 195.74
  4. Step 4: Simplify right side
    412.38x = 120,908.60
  5. Step 5: Solve for x
    x = 120,908.60/412.38
  6. Step 6: Final answer
    x = 293.20

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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.