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Finding the Fourth Proportional to 320.80, 442.36 and 227.52

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Solution

The fourth proportional to 320.80, 442.36 and 227.52 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.80 : 442.36 = 227.52 : x
  2. Step 2: Convert to fraction form
    320.80/442.36 = 227.52/x
  3. Step 3: Cross multiply
    320.80x = 442.36 × 227.52
  4. Step 4: Simplify right side
    320.80x = 100,645.75
  5. Step 5: Solve for x
    x = 100,645.75/320.80
  6. Step 6: Final answer
    x = 313.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.