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Finding the Fourth Proportional to 305.25, 422.16 and 287.94

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Solution

The fourth proportional to 305.25, 422.16 and 287.94 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.25 : 422.16 = 287.94 : x
  2. Step 2: Convert to fraction form
    305.25/422.16 = 287.94/x
  3. Step 3: Cross multiply
    305.25x = 422.16 × 287.94
  4. Step 4: Simplify right side
    305.25x = 121,556.75
  5. Step 5: Solve for x
    x = 121,556.75/305.25
  6. Step 6: Final answer
    x = 398.22

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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.