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Finding the Fourth Proportional to 633.36, 950.10 and 200.46

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Solution

The fourth proportional to 633.36, 950.10 and 200.46 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.36 : 950.10 = 200.46 : x
  2. Step 2: Convert to fraction form
    633.36/950.10 = 200.46/x
  3. Step 3: Cross multiply
    633.36x = 950.10 × 200.46
  4. Step 4: Simplify right side
    633.36x = 190,457.05
  5. Step 5: Solve for x
    x = 190,457.05/633.36
  6. Step 6: Final answer
    x = 300.71

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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.