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Finding the Fourth Proportional to 649.98, 974.25 and 341.76

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Solution

The fourth proportional to 649.98, 974.25 and 341.76 is: 512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 974.25 = 341.76 : x
  2. Step 2: Convert to fraction form
    649.98/974.25 = 341.76/x
  3. Step 3: Cross multiply
    649.98x = 974.25 × 341.76
  4. Step 4: Simplify right side
    649.98x = 332,959.68
  5. Step 5: Solve for x
    x = 332,959.68/649.98
  6. Step 6: Final answer
    x = 512.26

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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.