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Finding the Fourth Proportional to 301.48, 415.77 and 254.97

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Solution

The fourth proportional to 301.48, 415.77 and 254.97 is: 351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 415.77 = 254.97 : x
  2. Step 2: Convert to fraction form
    301.48/415.77 = 254.97/x
  3. Step 3: Cross multiply
    301.48x = 415.77 × 254.97
  4. Step 4: Simplify right side
    301.48x = 106,007.92
  5. Step 5: Solve for x
    x = 106,007.92/301.48
  6. Step 6: Final answer
    x = 351.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.