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Finding the Fourth Proportional to 322.72, 445.16 and 301.12

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Solution

The fourth proportional to 322.72, 445.16 and 301.12 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 445.16 = 301.12 : x
  2. Step 2: Convert to fraction form
    322.72/445.16 = 301.12/x
  3. Step 3: Cross multiply
    322.72x = 445.16 × 301.12
  4. Step 4: Simplify right side
    322.72x = 134,046.58
  5. Step 5: Solve for x
    x = 134,046.58/322.72
  6. Step 6: Final answer
    x = 415.36

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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.