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Finding the Fourth Proportional to 412.02, 617.76 and 195.84

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Solution

The fourth proportional to 412.02, 617.76 and 195.84 is: 293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 617.76 = 195.84 : x
  2. Step 2: Convert to fraction form
    412.02/617.76 = 195.84/x
  3. Step 3: Cross multiply
    412.02x = 617.76 × 195.84
  4. Step 4: Simplify right side
    412.02x = 120,982.12
  5. Step 5: Solve for x
    x = 120,982.12/412.02
  6. Step 6: Final answer
    x = 293.63

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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.