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Finding the Fourth Proportional to 322.58, 445.01 and 204.70

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Solution

The fourth proportional to 322.58, 445.01 and 204.70 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.58 : 445.01 = 204.70 : x
  2. Step 2: Convert to fraction form
    322.58/445.01 = 204.70/x
  3. Step 3: Cross multiply
    322.58x = 445.01 × 204.70
  4. Step 4: Simplify right side
    322.58x = 91,091.41
  5. Step 5: Solve for x
    x = 91,091.41/322.58
  6. Step 6: Final answer
    x = 282.39

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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.