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Finding the Fourth Proportional to 484.46, 725.71 and 224.09

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Solution

The fourth proportional to 484.46, 725.71 and 224.09 is: 335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.46 : 725.71 = 224.09 : x
  2. Step 2: Convert to fraction form
    484.46/725.71 = 224.09/x
  3. Step 3: Cross multiply
    484.46x = 725.71 × 224.09
  4. Step 4: Simplify right side
    484.46x = 162,624.35
  5. Step 5: Solve for x
    x = 162,624.35/484.46
  6. Step 6: Final answer
    x = 335.68

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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.