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Finding the Fourth Proportional to 412.40, 618.32 and 196

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Solution

The fourth proportional to 412.40, 618.32 and 196 is: 293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 618.32 = 196 : x
  2. Step 2: Convert to fraction form
    412.40/618.32 = 196/x
  3. Step 3: Cross multiply
    412.40x = 618.32 × 196
  4. Step 4: Simplify right side
    412.40x = 121,190.72
  5. Step 5: Solve for x
    x = 121,190.72/412.40
  6. Step 6: Final answer
    x = 293.87

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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.