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Finding the Fourth Proportional to 297.37, 446.19 and 243.64

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Solution

The fourth proportional to 297.37, 446.19 and 243.64 is: 365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.37 : 446.19 = 243.64 : x
  2. Step 2: Convert to fraction form
    297.37/446.19 = 243.64/x
  3. Step 3: Cross multiply
    297.37x = 446.19 × 243.64
  4. Step 4: Simplify right side
    297.37x = 108,709.73
  5. Step 5: Solve for x
    x = 108,709.73/297.37
  6. Step 6: Final answer
    x = 365.57

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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.