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Finding the Fourth Proportional to 633.19, 949.81 and 243.14

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Solution

The fourth proportional to 633.19, 949.81 and 243.14 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.19 : 949.81 = 243.14 : x
  2. Step 2: Convert to fraction form
    633.19/949.81 = 243.14/x
  3. Step 3: Cross multiply
    633.19x = 949.81 × 243.14
  4. Step 4: Simplify right side
    633.19x = 230,936.80
  5. Step 5: Solve for x
    x = 230,936.80/633.19
  6. Step 6: Final answer
    x = 364.72

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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.