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Finding the Fourth Proportional to 324.46, 447.58 and 206.34

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Solution

The fourth proportional to 324.46, 447.58 and 206.34 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.46 : 447.58 = 206.34 : x
  2. Step 2: Convert to fraction form
    324.46/447.58 = 206.34/x
  3. Step 3: Cross multiply
    324.46x = 447.58 × 206.34
  4. Step 4: Simplify right side
    324.46x = 92,353.66
  5. Step 5: Solve for x
    x = 92,353.66/324.46
  6. Step 6: Final answer
    x = 284.64

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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.