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Finding the Fourth Proportional to 624.24, 936.37 and 281.84

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Solution

The fourth proportional to 624.24, 936.37 and 281.84 is: 422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 936.37 = 281.84 : x
  2. Step 2: Convert to fraction form
    624.24/936.37 = 281.84/x
  3. Step 3: Cross multiply
    624.24x = 936.37 × 281.84
  4. Step 4: Simplify right side
    624.24x = 263,906.52
  5. Step 5: Solve for x
    x = 263,906.52/624.24
  6. Step 6: Final answer
    x = 422.76

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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.