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Finding the Fourth Proportional to 633.70, 950.65 and 200.90

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Solution

The fourth proportional to 633.70, 950.65 and 200.90 is: 301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.70 : 950.65 = 200.90 : x
  2. Step 2: Convert to fraction form
    633.70/950.65 = 200.90/x
  3. Step 3: Cross multiply
    633.70x = 950.65 × 200.90
  4. Step 4: Simplify right side
    633.70x = 190,985.59
  5. Step 5: Solve for x
    x = 190,985.59/633.70
  6. Step 6: Final answer
    x = 301.38

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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.