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Finding the Fourth Proportional to 336.73, 464.70 and 226.47

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Solution

The fourth proportional to 336.73, 464.70 and 226.47 is: 312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.73 : 464.70 = 226.47 : x
  2. Step 2: Convert to fraction form
    336.73/464.70 = 226.47/x
  3. Step 3: Cross multiply
    336.73x = 464.70 × 226.47
  4. Step 4: Simplify right side
    336.73x = 105,240.61
  5. Step 5: Solve for x
    x = 105,240.61/336.73
  6. Step 6: Final answer
    x = 312.54

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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.