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Finding the Fourth Proportional to 624.71, 936.84 and 185.83

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Solution

The fourth proportional to 624.71, 936.84 and 185.83 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.71 : 936.84 = 185.83 : x
  2. Step 2: Convert to fraction form
    624.71/936.84 = 185.83/x
  3. Step 3: Cross multiply
    624.71x = 936.84 × 185.83
  4. Step 4: Simplify right side
    624.71x = 174,092.98
  5. Step 5: Solve for x
    x = 174,092.98/624.71
  6. Step 6: Final answer
    x = 278.68

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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.