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Finding the Fourth Proportional to 470.66, 649.41 and 274.10

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Solution

The fourth proportional to 470.66, 649.41 and 274.10 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.66 : 649.41 = 274.10 : x
  2. Step 2: Convert to fraction form
    470.66/649.41 = 274.10/x
  3. Step 3: Cross multiply
    470.66x = 649.41 × 274.10
  4. Step 4: Simplify right side
    470.66x = 178,003.28
  5. Step 5: Solve for x
    x = 178,003.28/470.66
  6. Step 6: Final answer
    x = 378.20

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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.