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Finding the Fourth Proportional to 442.45, 663.67 and 113.39

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Solution

The fourth proportional to 442.45, 663.67 and 113.39 is: 170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.45 : 663.67 = 113.39 : x
  2. Step 2: Convert to fraction form
    442.45/663.67 = 113.39/x
  3. Step 3: Cross multiply
    442.45x = 663.67 × 113.39
  4. Step 4: Simplify right side
    442.45x = 75,250.08
  5. Step 5: Solve for x
    x = 75,250.08/442.45
  6. Step 6: Final answer
    x = 170.08

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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.