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Finding the Fourth Proportional to 633.80, 950.84 and 200.94

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Solution

The fourth proportional to 633.80, 950.84 and 200.94 is: 301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 950.84 = 200.94 : x
  2. Step 2: Convert to fraction form
    633.80/950.84 = 200.94/x
  3. Step 3: Cross multiply
    633.80x = 950.84 × 200.94
  4. Step 4: Simplify right side
    633.80x = 191,061.79
  5. Step 5: Solve for x
    x = 191,061.79/633.80
  6. Step 6: Final answer
    x = 301.45

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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.