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Finding the Fourth Proportional to 322.93, 445.62 and 204.94

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Solution

The fourth proportional to 322.93, 445.62 and 204.94 is: 282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.93 : 445.62 = 204.94 : x
  2. Step 2: Convert to fraction form
    322.93/445.62 = 204.94/x
  3. Step 3: Cross multiply
    322.93x = 445.62 × 204.94
  4. Step 4: Simplify right side
    322.93x = 91,325.36
  5. Step 5: Solve for x
    x = 91,325.36/322.93
  6. Step 6: Final answer
    x = 282.80

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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.