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Finding the Fourth Proportional to 303.86, 421.23 and 287.44

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Solution

The fourth proportional to 303.86, 421.23 and 287.44 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 421.23 = 287.44 : x
  2. Step 2: Convert to fraction form
    303.86/421.23 = 287.44/x
  3. Step 3: Cross multiply
    303.86x = 421.23 × 287.44
  4. Step 4: Simplify right side
    303.86x = 121,078.35
  5. Step 5: Solve for x
    x = 121,078.35/303.86
  6. Step 6: Final answer
    x = 398.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.