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Finding the Fourth Proportional to 470.37, 649.08 and 273.85

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Solution

The fourth proportional to 470.37, 649.08 and 273.85 is: 377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.37 : 649.08 = 273.85 : x
  2. Step 2: Convert to fraction form
    470.37/649.08 = 273.85/x
  3. Step 3: Cross multiply
    470.37x = 649.08 × 273.85
  4. Step 4: Simplify right side
    470.37x = 177,750.56
  5. Step 5: Solve for x
    x = 177,750.56/470.37
  6. Step 6: Final answer
    x = 377.90

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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.