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Finding the Fourth Proportional to 336.51, 464.31 and 205.61

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Solution

The fourth proportional to 336.51, 464.31 and 205.61 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.51 : 464.31 = 205.61 : x
  2. Step 2: Convert to fraction form
    336.51/464.31 = 205.61/x
  3. Step 3: Cross multiply
    336.51x = 464.31 × 205.61
  4. Step 4: Simplify right side
    336.51x = 95,464.46
  5. Step 5: Solve for x
    x = 95,464.46/336.51
  6. Step 6: Final answer
    x = 283.69

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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.