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Finding the Fourth Proportional to 674.35, 930.20 and 411.91

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Solution

The fourth proportional to 674.35, 930.20 and 411.91 is: 568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.35 : 930.20 = 411.91 : x
  2. Step 2: Convert to fraction form
    674.35/930.20 = 411.91/x
  3. Step 3: Cross multiply
    674.35x = 930.20 × 411.91
  4. Step 4: Simplify right side
    674.35x = 383,151.97
  5. Step 5: Solve for x
    x = 383,151.97/674.35
  6. Step 6: Final answer
    x = 568.18

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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.