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Finding the Fourth Proportional to 633.96, 950.81 and 325.96

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Solution

The fourth proportional to 633.96, 950.81 and 325.96 is: 488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.96 : 950.81 = 325.96 : x
  2. Step 2: Convert to fraction form
    633.96/950.81 = 325.96/x
  3. Step 3: Cross multiply
    633.96x = 950.81 × 325.96
  4. Step 4: Simplify right side
    633.96x = 309,922.02
  5. Step 5: Solve for x
    x = 309,922.02/633.96
  6. Step 6: Final answer
    x = 488.87

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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.