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Finding the Fourth Proportional to 322.92, 443.24 and 322.92

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Solution

The fourth proportional to 322.92, 443.24 and 322.92 is: 443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.92 : 443.24 = 322.92 : x
  2. Step 2: Convert to fraction form
    322.92/443.24 = 322.92/x
  3. Step 3: Cross multiply
    322.92x = 443.24 × 322.92
  4. Step 4: Simplify right side
    322.92x = 143,130.66
  5. Step 5: Solve for x
    x = 143,130.66/322.92
  6. Step 6: Final answer
    x = 443.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.