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Finding the Fourth Proportional to 632.89, 949.36 and 200.05

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Solution

The fourth proportional to 632.89, 949.36 and 200.05 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.89 : 949.36 = 200.05 : x
  2. Step 2: Convert to fraction form
    632.89/949.36 = 200.05/x
  3. Step 3: Cross multiply
    632.89x = 949.36 × 200.05
  4. Step 4: Simplify right side
    632.89x = 189,914.72
  5. Step 5: Solve for x
    x = 189,914.72/632.89
  6. Step 6: Final answer
    x = 300.08

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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.