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Finding the Fourth Proportional to 322.30, 481.12 and 275.83

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Solution

The fourth proportional to 322.30, 481.12 and 275.83 is: 411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.30 : 481.12 = 275.83 : x
  2. Step 2: Convert to fraction form
    322.30/481.12 = 275.83/x
  3. Step 3: Cross multiply
    322.30x = 481.12 × 275.83
  4. Step 4: Simplify right side
    322.30x = 132,705.44
  5. Step 5: Solve for x
    x = 132,705.44/322.30
  6. Step 6: Final answer
    x = 411.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.