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Finding the Fourth Proportional to 273.20, 407.42 and 270.80

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Solution

The fourth proportional to 273.20, 407.42 and 270.80 is: 403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.20 : 407.42 = 270.80 : x
  2. Step 2: Convert to fraction form
    273.20/407.42 = 270.80/x
  3. Step 3: Cross multiply
    273.20x = 407.42 × 270.80
  4. Step 4: Simplify right side
    273.20x = 110,329.34
  5. Step 5: Solve for x
    x = 110,329.34/273.20
  6. Step 6: Final answer
    x = 403.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.