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Finding the Fourth Proportional to 324.16, 447.62 and 206.34

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Solution

The fourth proportional to 324.16, 447.62 and 206.34 is: 284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 447.62 = 206.34 : x
  2. Step 2: Convert to fraction form
    324.16/447.62 = 206.34/x
  3. Step 3: Cross multiply
    324.16x = 447.62 × 206.34
  4. Step 4: Simplify right side
    324.16x = 92,361.91
  5. Step 5: Solve for x
    x = 92,361.91/324.16
  6. Step 6: Final answer
    x = 284.93

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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.