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Finding the Fourth Proportional to 633.21, 949.67 and 243.20

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Solution

The fourth proportional to 633.21, 949.67 and 243.20 is: 364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.21 : 949.67 = 243.20 : x
  2. Step 2: Convert to fraction form
    633.21/949.67 = 243.20/x
  3. Step 3: Cross multiply
    633.21x = 949.67 × 243.20
  4. Step 4: Simplify right side
    633.21x = 230,953.78
  5. Step 5: Solve for x
    x = 230,953.78/633.21
  6. Step 6: Final answer
    x = 364.73

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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.