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Finding the Fourth Proportional to 423.37, 634.83 and 200.76

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Solution

The fourth proportional to 423.37, 634.83 and 200.76 is: 301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.37 : 634.83 = 200.76 : x
  2. Step 2: Convert to fraction form
    423.37/634.83 = 200.76/x
  3. Step 3: Cross multiply
    423.37x = 634.83 × 200.76
  4. Step 4: Simplify right side
    423.37x = 127,448.47
  5. Step 5: Solve for x
    x = 127,448.47/423.37
  6. Step 6: Final answer
    x = 301.03

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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.