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Finding the Fourth Proportional to 633.78, 950.01 and 243.66

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Solution

The fourth proportional to 633.78, 950.01 and 243.66 is: 365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.78 : 950.01 = 243.66 : x
  2. Step 2: Convert to fraction form
    633.78/950.01 = 243.66/x
  3. Step 3: Cross multiply
    633.78x = 950.01 × 243.66
  4. Step 4: Simplify right side
    633.78x = 231,479.44
  5. Step 5: Solve for x
    x = 231,479.44/633.78
  6. Step 6: Final answer
    x = 365.24

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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.