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Finding the Fourth Proportional to 674.21, 930.87 and 422.23

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Solution

The fourth proportional to 674.21, 930.87 and 422.23 is: 582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.21 : 930.87 = 422.23 : x
  2. Step 2: Convert to fraction form
    674.21/930.87 = 422.23/x
  3. Step 3: Cross multiply
    674.21x = 930.87 × 422.23
  4. Step 4: Simplify right side
    674.21x = 393,040.66
  5. Step 5: Solve for x
    x = 393,040.66/674.21
  6. Step 6: Final answer
    x = 582.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.