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Finding the Fourth Proportional to 470.35, 649.06 and 273.83

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Solution

The fourth proportional to 470.35, 649.06 and 273.83 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.35 : 649.06 = 273.83 : x
  2. Step 2: Convert to fraction form
    470.35/649.06 = 273.83/x
  3. Step 3: Cross multiply
    470.35x = 649.06 × 273.83
  4. Step 4: Simplify right side
    470.35x = 177,732.10
  5. Step 5: Solve for x
    x = 177,732.10/470.35
  6. Step 6: Final answer
    x = 377.87

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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.