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Finding the Fourth Proportional to 412.80, 618.64 and 196.08

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Solution

The fourth proportional to 412.80, 618.64 and 196.08 is: 293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 618.64 = 196.08 : x
  2. Step 2: Convert to fraction form
    412.80/618.64 = 196.08/x
  3. Step 3: Cross multiply
    412.80x = 618.64 × 196.08
  4. Step 4: Simplify right side
    412.80x = 121,302.93
  5. Step 5: Solve for x
    x = 121,302.93/412.80
  6. Step 6: Final answer
    x = 293.85

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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.