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Finding the Fourth Proportional to 649.29, 974.49 and 341.36

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Solution

The fourth proportional to 649.29, 974.49 and 341.36 is: 512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.29 : 974.49 = 341.36 : x
  2. Step 2: Convert to fraction form
    649.29/974.49 = 341.36/x
  3. Step 3: Cross multiply
    649.29x = 974.49 × 341.36
  4. Step 4: Simplify right side
    649.29x = 332,647.03
  5. Step 5: Solve for x
    x = 332,647.03/649.29
  6. Step 6: Final answer
    x = 512.32

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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.