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Finding the Fourth Proportional to 633.60, 949.77 and 200.43

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Solution

The fourth proportional to 633.60, 949.77 and 200.43 is: 300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.60 : 949.77 = 200.43 : x
  2. Step 2: Convert to fraction form
    633.60/949.77 = 200.43/x
  3. Step 3: Cross multiply
    633.60x = 949.77 × 200.43
  4. Step 4: Simplify right side
    633.60x = 190,362.40
  5. Step 5: Solve for x
    x = 190,362.40/633.60
  6. Step 6: Final answer
    x = 300.45

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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.