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Finding the Fourth Proportional to 649.35, 974.64 and 341.43

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Solution

The fourth proportional to 649.35, 974.64 and 341.43 is: 512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 974.64 = 341.43 : x
  2. Step 2: Convert to fraction form
    649.35/974.64 = 341.43/x
  3. Step 3: Cross multiply
    649.35x = 974.64 × 341.43
  4. Step 4: Simplify right side
    649.35x = 332,771.34
  5. Step 5: Solve for x
    x = 332,771.34/649.35
  6. Step 6: Final answer
    x = 512.47

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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.