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Finding the Fourth Proportional to 301.62, 416.44 and 268.82

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Solution

The fourth proportional to 301.62, 416.44 and 268.82 is: 371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.62 : 416.44 = 268.82 : x
  2. Step 2: Convert to fraction form
    301.62/416.44 = 268.82/x
  3. Step 3: Cross multiply
    301.62x = 416.44 × 268.82
  4. Step 4: Simplify right side
    301.62x = 111,947.22
  5. Step 5: Solve for x
    x = 111,947.22/301.62
  6. Step 6: Final answer
    x = 371.15

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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.