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Finding the Fourth Proportional to 633.69, 950.64 and 200.82

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Solution

The fourth proportional to 633.69, 950.64 and 200.82 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.69 : 950.64 = 200.82 : x
  2. Step 2: Convert to fraction form
    633.69/950.64 = 200.82/x
  3. Step 3: Cross multiply
    633.69x = 950.64 × 200.82
  4. Step 4: Simplify right side
    633.69x = 190,907.52
  5. Step 5: Solve for x
    x = 190,907.52/633.69
  6. Step 6: Final answer
    x = 301.26

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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.