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Finding the Fourth Proportional to 624.70, 937.03 and 213.78

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Solution

The fourth proportional to 624.70, 937.03 and 213.78 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.70 : 937.03 = 213.78 : x
  2. Step 2: Convert to fraction form
    624.70/937.03 = 213.78/x
  3. Step 3: Cross multiply
    624.70x = 937.03 × 213.78
  4. Step 4: Simplify right side
    624.70x = 200,318.27
  5. Step 5: Solve for x
    x = 200,318.27/624.70
  6. Step 6: Final answer
    x = 320.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.