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Finding the Fourth Proportional to 322.82, 483.39 and 225.04

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Solution

The fourth proportional to 322.82, 483.39 and 225.04 is: 336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.82 : 483.39 = 225.04 : x
  2. Step 2: Convert to fraction form
    322.82/483.39 = 225.04/x
  3. Step 3: Cross multiply
    322.82x = 483.39 × 225.04
  4. Step 4: Simplify right side
    322.82x = 108,780.88
  5. Step 5: Solve for x
    x = 108,780.88/322.82
  6. Step 6: Final answer
    x = 336.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.