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Finding the Fourth Proportional to 293.66, 441.06 and 228.86

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Solution

The fourth proportional to 293.66, 441.06 and 228.86 is: 343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.66 : 441.06 = 228.86 : x
  2. Step 2: Convert to fraction form
    293.66/441.06 = 228.86/x
  3. Step 3: Cross multiply
    293.66x = 441.06 × 228.86
  4. Step 4: Simplify right side
    293.66x = 100,940.99
  5. Step 5: Solve for x
    x = 100,940.99/293.66
  6. Step 6: Final answer
    x = 343.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.