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Finding the Fourth Proportional to 301.86, 418.51 and 291.73

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Solution

The fourth proportional to 301.86, 418.51 and 291.73 is: 404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 418.51 = 291.73 : x
  2. Step 2: Convert to fraction form
    301.86/418.51 = 291.73/x
  3. Step 3: Cross multiply
    301.86x = 418.51 × 291.73
  4. Step 4: Simplify right side
    301.86x = 122,091.92
  5. Step 5: Solve for x
    x = 122,091.92/301.86
  6. Step 6: Final answer
    x = 404.47

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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.