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Finding the Fourth Proportional to 649.36, 974.64 and 341.42

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Solution

The fourth proportional to 649.36, 974.64 and 341.42 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 974.64 = 341.42 : x
  2. Step 2: Convert to fraction form
    649.36/974.64 = 341.42/x
  3. Step 3: Cross multiply
    649.36x = 974.64 × 341.42
  4. Step 4: Simplify right side
    649.36x = 332,761.59
  5. Step 5: Solve for x
    x = 332,761.59/649.36
  6. Step 6: Final answer
    x = 512.45

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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.