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Finding the Fourth Proportional to 674.92, 930.97 and 412.48

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Solution

The fourth proportional to 674.92, 930.97 and 412.48 is: 568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 930.97 = 412.48 : x
  2. Step 2: Convert to fraction form
    674.92/930.97 = 412.48/x
  3. Step 3: Cross multiply
    674.92x = 930.97 × 412.48
  4. Step 4: Simplify right side
    674.92x = 383,999.79
  5. Step 5: Solve for x
    x = 383,999.79/674.92
  6. Step 6: Final answer
    x = 568.96

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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.