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Finding the Fourth Proportional to 336.76, 464.90 and 226.38

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Solution

The fourth proportional to 336.76, 464.90 and 226.38 is: 312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.76 : 464.90 = 226.38 : x
  2. Step 2: Convert to fraction form
    336.76/464.90 = 226.38/x
  3. Step 3: Cross multiply
    336.76x = 464.90 × 226.38
  4. Step 4: Simplify right side
    336.76x = 105,244.06
  5. Step 5: Solve for x
    x = 105,244.06/336.76
  6. Step 6: Final answer
    x = 312.52

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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.