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Finding the Fourth Proportional to 336.63, 464.83 and 212.49

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Solution

The fourth proportional to 336.63, 464.83 and 212.49 is: 293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.63 : 464.83 = 212.49 : x
  2. Step 2: Convert to fraction form
    336.63/464.83 = 212.49/x
  3. Step 3: Cross multiply
    336.63x = 464.83 × 212.49
  4. Step 4: Simplify right side
    336.63x = 98,771.73
  5. Step 5: Solve for x
    x = 98,771.73/336.63
  6. Step 6: Final answer
    x = 293.41

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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.