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Finding the Fourth Proportional to 624.82, 937.26 and 213.93

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Solution

The fourth proportional to 624.82, 937.26 and 213.93 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.82 : 937.26 = 213.93 : x
  2. Step 2: Convert to fraction form
    624.82/937.26 = 213.93/x
  3. Step 3: Cross multiply
    624.82x = 937.26 × 213.93
  4. Step 4: Simplify right side
    624.82x = 200,508.03
  5. Step 5: Solve for x
    x = 200,508.03/624.82
  6. Step 6: Final answer
    x = 320.91

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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.