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Finding the Fourth Proportional to 322.08, 444.32 and 205.57

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Solution

The fourth proportional to 322.08, 444.32 and 205.57 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.08 : 444.32 = 205.57 : x
  2. Step 2: Convert to fraction form
    322.08/444.32 = 205.57/x
  3. Step 3: Cross multiply
    322.08x = 444.32 × 205.57
  4. Step 4: Simplify right side
    322.08x = 91,338.86
  5. Step 5: Solve for x
    x = 91,338.86/322.08
  6. Step 6: Final answer
    x = 283.59

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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.