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Finding the Fourth Proportional to 343.98, 474.80 and 226.01

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Solution

The fourth proportional to 343.98, 474.80 and 226.01 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.98 : 474.80 = 226.01 : x
  2. Step 2: Convert to fraction form
    343.98/474.80 = 226.01/x
  3. Step 3: Cross multiply
    343.98x = 474.80 × 226.01
  4. Step 4: Simplify right side
    343.98x = 107,309.60
  5. Step 5: Solve for x
    x = 107,309.60/343.98
  6. Step 6: Final answer
    x = 311.96

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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.