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Finding the Fourth Proportional to 442.94, 664.47 and 199.53

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Solution

The fourth proportional to 442.94, 664.47 and 199.53 is: 299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.94 : 664.47 = 199.53 : x
  2. Step 2: Convert to fraction form
    442.94/664.47 = 199.53/x
  3. Step 3: Cross multiply
    442.94x = 664.47 × 199.53
  4. Step 4: Simplify right side
    442.94x = 132,581.70
  5. Step 5: Solve for x
    x = 132,581.70/442.94
  6. Step 6: Final answer
    x = 299.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.