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Finding the Fourth Proportional to 633.45, 949.89 and 268.05

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Solution

The fourth proportional to 633.45, 949.89 and 268.05 is: 401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.45 : 949.89 = 268.05 : x
  2. Step 2: Convert to fraction form
    633.45/949.89 = 268.05/x
  3. Step 3: Cross multiply
    633.45x = 949.89 × 268.05
  4. Step 4: Simplify right side
    633.45x = 254,618.01
  5. Step 5: Solve for x
    x = 254,618.01/633.45
  6. Step 6: Final answer
    x = 401.95

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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.