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Finding the Fourth Proportional to 624.73, 937.09 and 191.83

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Solution

The fourth proportional to 624.73, 937.09 and 191.83 is: 287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.73 : 937.09 = 191.83 : x
  2. Step 2: Convert to fraction form
    624.73/937.09 = 191.83/x
  3. Step 3: Cross multiply
    624.73x = 937.09 × 191.83
  4. Step 4: Simplify right side
    624.73x = 179,759.87
  5. Step 5: Solve for x
    x = 179,759.87/624.73
  6. Step 6: Final answer
    x = 287.74

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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.