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Finding the Fourth Proportional to 484.23, 725.78 and 223.69

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Solution

The fourth proportional to 484.23, 725.78 and 223.69 is: 335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.23 : 725.78 = 223.69 : x
  2. Step 2: Convert to fraction form
    484.23/725.78 = 223.69/x
  3. Step 3: Cross multiply
    484.23x = 725.78 × 223.69
  4. Step 4: Simplify right side
    484.23x = 162,349.73
  5. Step 5: Solve for x
    x = 162,349.73/484.23
  6. Step 6: Final answer
    x = 335.27

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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.