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Finding the Fourth Proportional to 322.39, 480.52 and 297.73

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Solution

The fourth proportional to 322.39, 480.52 and 297.73 is: 443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.39 : 480.52 = 297.73 : x
  2. Step 2: Convert to fraction form
    322.39/480.52 = 297.73/x
  3. Step 3: Cross multiply
    322.39x = 480.52 × 297.73
  4. Step 4: Simplify right side
    322.39x = 143,065.22
  5. Step 5: Solve for x
    x = 143,065.22/322.39
  6. Step 6: Final answer
    x = 443.76

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