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Finding the Fourth Proportional to 273.74, 410.06 and 273.74

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Solution

The fourth proportional to 273.74, 410.06 and 273.74 is: 410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.74 : 410.06 = 273.74 : x
  2. Step 2: Convert to fraction form
    273.74/410.06 = 273.74/x
  3. Step 3: Cross multiply
    273.74x = 410.06 × 273.74
  4. Step 4: Simplify right side
    273.74x = 112,249.82
  5. Step 5: Solve for x
    x = 112,249.82/273.74
  6. Step 6: Final answer
    x = 410.06

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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.