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Finding the Fourth Proportional to 320.82, 442.62 and 227.56

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Solution

The fourth proportional to 320.82, 442.62 and 227.56 is: 313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 442.62 = 227.56 : x
  2. Step 2: Convert to fraction form
    320.82/442.62 = 227.56/x
  3. Step 3: Cross multiply
    320.82x = 442.62 × 227.56
  4. Step 4: Simplify right side
    320.82x = 100,722.61
  5. Step 5: Solve for x
    x = 100,722.61/320.82
  6. Step 6: Final answer
    x = 313.95

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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.