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Finding the Fourth Proportional to 352.78, 487.01 and 273.92

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Solution

The fourth proportional to 352.78, 487.01 and 273.92 is: 378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.78 : 487.01 = 273.92 : x
  2. Step 2: Convert to fraction form
    352.78/487.01 = 273.92/x
  3. Step 3: Cross multiply
    352.78x = 487.01 × 273.92
  4. Step 4: Simplify right side
    352.78x = 133,401.78
  5. Step 5: Solve for x
    x = 133,401.78/352.78
  6. Step 6: Final answer
    x = 378.14

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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.