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Finding the Fourth Proportional to 484.10, 725.90 and 310.73

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Solution

The fourth proportional to 484.10, 725.90 and 310.73 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.10 : 725.90 = 310.73 : x
  2. Step 2: Convert to fraction form
    484.10/725.90 = 310.73/x
  3. Step 3: Cross multiply
    484.10x = 725.90 × 310.73
  4. Step 4: Simplify right side
    484.10x = 225,553.72
  5. Step 5: Solve for x
    x = 225,553.72/484.10
  6. Step 6: Final answer
    x = 465.93

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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.