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Finding the Fourth Proportional to 638.76, 958.20 and 273.48

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Solution

The fourth proportional to 638.76, 958.20 and 273.48 is: 410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.76 : 958.20 = 273.48 : x
  2. Step 2: Convert to fraction form
    638.76/958.20 = 273.48/x
  3. Step 3: Cross multiply
    638.76x = 958.20 × 273.48
  4. Step 4: Simplify right side
    638.76x = 262,048.54
  5. Step 5: Solve for x
    x = 262,048.54/638.76
  6. Step 6: Final answer
    x = 410.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.