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Finding the Fourth Proportional to 484.42, 726.15 and 196.06

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Solution

The fourth proportional to 484.42, 726.15 and 196.06 is: 293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.42 : 726.15 = 196.06 : x
  2. Step 2: Convert to fraction form
    484.42/726.15 = 196.06/x
  3. Step 3: Cross multiply
    484.42x = 726.15 × 196.06
  4. Step 4: Simplify right side
    484.42x = 142,368.97
  5. Step 5: Solve for x
    x = 142,368.97/484.42
  6. Step 6: Final answer
    x = 293.90

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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.