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Finding the Fourth Proportional to 633.56, 950.34 and 200.75

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Solution

The fourth proportional to 633.56, 950.34 and 200.75 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.56 : 950.34 = 200.75 : x
  2. Step 2: Convert to fraction form
    633.56/950.34 = 200.75/x
  3. Step 3: Cross multiply
    633.56x = 950.34 × 200.75
  4. Step 4: Simplify right side
    633.56x = 190,780.76
  5. Step 5: Solve for x
    x = 190,780.76/633.56
  6. Step 6: Final answer
    x = 301.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.