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Finding the Fourth Proportional to 633.59, 950.31 and 243.41

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Solution

The fourth proportional to 633.59, 950.31 and 243.41 is: 365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.59 : 950.31 = 243.41 : x
  2. Step 2: Convert to fraction form
    633.59/950.31 = 243.41/x
  3. Step 3: Cross multiply
    633.59x = 950.31 × 243.41
  4. Step 4: Simplify right side
    633.59x = 231,314.96
  5. Step 5: Solve for x
    x = 231,314.96/633.59
  6. Step 6: Final answer
    x = 365.09

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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.