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Finding the Fourth Proportional to 484.83, 727.20 and 196.05

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Solution

The fourth proportional to 484.83, 727.20 and 196.05 is: 294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.83 : 727.20 = 196.05 : x
  2. Step 2: Convert to fraction form
    484.83/727.20 = 196.05/x
  3. Step 3: Cross multiply
    484.83x = 727.20 × 196.05
  4. Step 4: Simplify right side
    484.83x = 142,567.56
  5. Step 5: Solve for x
    x = 142,567.56/484.83
  6. Step 6: Final answer
    x = 294.06

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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.