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Finding the Fourth Proportional to 344.30, 474.69 and 226.10

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Solution

The fourth proportional to 344.30, 474.69 and 226.10 is: 311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 474.69 = 226.10 : x
  2. Step 2: Convert to fraction form
    344.30/474.69 = 226.10/x
  3. Step 3: Cross multiply
    344.30x = 474.69 × 226.10
  4. Step 4: Simplify right side
    344.30x = 107,327.41
  5. Step 5: Solve for x
    x = 107,327.41/344.30
  6. Step 6: Final answer
    x = 311.73

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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.