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Finding the Fourth Proportional to 470.91, 649.92 and 274.50

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Solution

The fourth proportional to 470.91, 649.92 and 274.50 is: 378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.91 : 649.92 = 274.50 : x
  2. Step 2: Convert to fraction form
    470.91/649.92 = 274.50/x
  3. Step 3: Cross multiply
    470.91x = 649.92 × 274.50
  4. Step 4: Simplify right side
    470.91x = 178,403.04
  5. Step 5: Solve for x
    x = 178,403.04/470.91
  6. Step 6: Final answer
    x = 378.85

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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.