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Finding the Fourth Proportional to 336.59, 464.54 and 205.52

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Solution

The fourth proportional to 336.59, 464.54 and 205.52 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.59 : 464.54 = 205.52 : x
  2. Step 2: Convert to fraction form
    336.59/464.54 = 205.52/x
  3. Step 3: Cross multiply
    336.59x = 464.54 × 205.52
  4. Step 4: Simplify right side
    336.59x = 95,472.39
  5. Step 5: Solve for x
    x = 95,472.39/336.59
  6. Step 6: Final answer
    x = 283.64

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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.