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Finding the Fourth Proportional to 336.41, 464.25 and 205.43

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Solution

The fourth proportional to 336.41, 464.25 and 205.43 is: 283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.41 : 464.25 = 205.43 : x
  2. Step 2: Convert to fraction form
    336.41/464.25 = 205.43/x
  3. Step 3: Cross multiply
    336.41x = 464.25 × 205.43
  4. Step 4: Simplify right side
    336.41x = 95,370.88
  5. Step 5: Solve for x
    x = 95,370.88/336.41
  6. Step 6: Final answer
    x = 283.50

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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.