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Finding the Fourth Proportional to 470.96, 649.96 and 274.49

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Solution

The fourth proportional to 470.96, 649.96 and 274.49 is: 378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.96 : 649.96 = 274.49 : x
  2. Step 2: Convert to fraction form
    470.96/649.96 = 274.49/x
  3. Step 3: Cross multiply
    470.96x = 649.96 × 274.49
  4. Step 4: Simplify right side
    470.96x = 178,404.27
  5. Step 5: Solve for x
    x = 178,404.27/470.96
  6. Step 6: Final answer
    x = 378.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.