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Finding the Fourth Proportional to 336.50, 464.28 and 205.46

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Solution

The fourth proportional to 336.50, 464.28 and 205.46 is: 283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.50 : 464.28 = 205.46 : x
  2. Step 2: Convert to fraction form
    336.50/464.28 = 205.46/x
  3. Step 3: Cross multiply
    336.50x = 464.28 × 205.46
  4. Step 4: Simplify right side
    336.50x = 95,390.97
  5. Step 5: Solve for x
    x = 95,390.97/336.50
  6. Step 6: Final answer
    x = 283.48

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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.