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Finding the Fourth Proportional to 470.59, 649.46 and 274.09

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Solution

The fourth proportional to 470.59, 649.46 and 274.09 is: 378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.59 : 649.46 = 274.09 : x
  2. Step 2: Convert to fraction form
    470.59/649.46 = 274.09/x
  3. Step 3: Cross multiply
    470.59x = 649.46 × 274.09
  4. Step 4: Simplify right side
    470.59x = 178,010.49
  5. Step 5: Solve for x
    x = 178,010.49/470.59
  6. Step 6: Final answer
    x = 378.27

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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.