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Finding the Fourth Proportional to 442.46, 663.86 and 198.93

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Solution

The fourth proportional to 442.46, 663.86 and 198.93 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.46 : 663.86 = 198.93 : x
  2. Step 2: Convert to fraction form
    442.46/663.86 = 198.93/x
  3. Step 3: Cross multiply
    442.46x = 663.86 × 198.93
  4. Step 4: Simplify right side
    442.46x = 132,062.17
  5. Step 5: Solve for x
    x = 132,062.17/442.46
  6. Step 6: Final answer
    x = 298.47

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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.