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Finding the Fourth Proportional to 674.40, 930.74 and 408.98

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Solution

The fourth proportional to 674.40, 930.74 and 408.98 is: 564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.40 : 930.74 = 408.98 : x
  2. Step 2: Convert to fraction form
    674.40/930.74 = 408.98/x
  3. Step 3: Cross multiply
    674.40x = 930.74 × 408.98
  4. Step 4: Simplify right side
    674.40x = 380,654.05
  5. Step 5: Solve for x
    x = 380,654.05/674.40
  6. Step 6: Final answer
    x = 564.43

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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.