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Finding the Fourth Proportional to 633.32, 949.73 and 194.43

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Solution

The fourth proportional to 633.32, 949.73 and 194.43 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.32 : 949.73 = 194.43 : x
  2. Step 2: Convert to fraction form
    633.32/949.73 = 194.43/x
  3. Step 3: Cross multiply
    633.32x = 949.73 × 194.43
  4. Step 4: Simplify right side
    633.32x = 184,655.03
  5. Step 5: Solve for x
    x = 184,655.03/633.32
  6. Step 6: Final answer
    x = 291.57

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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.