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Finding the Fourth Proportional to 470.57, 649.43 and 274.04

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Solution

The fourth proportional to 470.57, 649.43 and 274.04 is: 378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 649.43 = 274.04 : x
  2. Step 2: Convert to fraction form
    470.57/649.43 = 274.04/x
  3. Step 3: Cross multiply
    470.57x = 649.43 × 274.04
  4. Step 4: Simplify right side
    470.57x = 177,965.18
  5. Step 5: Solve for x
    x = 177,965.18/470.57
  6. Step 6: Final answer
    x = 378.19

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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.