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Finding the Fourth Proportional to 470.38, 649.13 and 273.95

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Solution

The fourth proportional to 470.38, 649.13 and 273.95 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.38 : 649.13 = 273.95 : x
  2. Step 2: Convert to fraction form
    470.38/649.13 = 273.95/x
  3. Step 3: Cross multiply
    470.38x = 649.13 × 273.95
  4. Step 4: Simplify right side
    470.38x = 177,829.16
  5. Step 5: Solve for x
    x = 177,829.16/470.38
  6. Step 6: Final answer
    x = 378.05

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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.