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Finding the Fourth Proportional to 638.64, 958.14 and 273.66

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Solution

The fourth proportional to 638.64, 958.14 and 273.66 is: 410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.64 : 958.14 = 273.66 : x
  2. Step 2: Convert to fraction form
    638.64/958.14 = 273.66/x
  3. Step 3: Cross multiply
    638.64x = 958.14 × 273.66
  4. Step 4: Simplify right side
    638.64x = 262,204.59
  5. Step 5: Solve for x
    x = 262,204.59/638.64
  6. Step 6: Final answer
    x = 410.57

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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.