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Finding the Fourth Proportional to 649.78, 974.17 and 337.09

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Solution

The fourth proportional to 649.78, 974.17 and 337.09 is: 505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.78 : 974.17 = 337.09 : x
  2. Step 2: Convert to fraction form
    649.78/974.17 = 337.09/x
  3. Step 3: Cross multiply
    649.78x = 974.17 × 337.09
  4. Step 4: Simplify right side
    649.78x = 328,382.97
  5. Step 5: Solve for x
    x = 328,382.97/649.78
  6. Step 6: Final answer
    x = 505.38

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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.