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Finding the Fourth Proportional to 423.41, 634.97 and 204.03

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Solution

The fourth proportional to 423.41, 634.97 and 204.03 is: 305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.41 : 634.97 = 204.03 : x
  2. Step 2: Convert to fraction form
    423.41/634.97 = 204.03/x
  3. Step 3: Cross multiply
    423.41x = 634.97 × 204.03
  4. Step 4: Simplify right side
    423.41x = 129,551.91
  5. Step 5: Solve for x
    x = 129,551.91/423.41
  6. Step 6: Final answer
    x = 305.98

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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.