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Finding the Fourth Proportional to 301.62, 416.62 and 273.90

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Solution

The fourth proportional to 301.62, 416.62 and 273.90 is: 378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.62 : 416.62 = 273.90 : x
  2. Step 2: Convert to fraction form
    301.62/416.62 = 273.90/x
  3. Step 3: Cross multiply
    301.62x = 416.62 × 273.90
  4. Step 4: Simplify right side
    301.62x = 114,112.22
  5. Step 5: Solve for x
    x = 114,112.22/301.62
  6. Step 6: Final answer
    x = 378.33

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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.