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Finding the Fourth Proportional to 350.94, 484.20 and 226.56

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Solution

The fourth proportional to 350.94, 484.20 and 226.56 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.94 : 484.20 = 226.56 : x
  2. Step 2: Convert to fraction form
    350.94/484.20 = 226.56/x
  3. Step 3: Cross multiply
    350.94x = 484.20 × 226.56
  4. Step 4: Simplify right side
    350.94x = 109,700.35
  5. Step 5: Solve for x
    x = 109,700.35/350.94
  6. Step 6: Final answer
    x = 312.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.