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Finding the Fourth Proportional to 470.71, 649.54 and 274.24

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Solution

The fourth proportional to 470.71, 649.54 and 274.24 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.71 : 649.54 = 274.24 : x
  2. Step 2: Convert to fraction form
    470.71/649.54 = 274.24/x
  3. Step 3: Cross multiply
    470.71x = 649.54 × 274.24
  4. Step 4: Simplify right side
    470.71x = 178,131.00
  5. Step 5: Solve for x
    x = 178,131.00/470.71
  6. Step 6: Final answer
    x = 378.43

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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.