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Finding the Fourth Proportional to 422.54, 633.57 and 203.05

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Solution

The fourth proportional to 422.54, 633.57 and 203.05 is: 304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.54 : 633.57 = 203.05 : x
  2. Step 2: Convert to fraction form
    422.54/633.57 = 203.05/x
  3. Step 3: Cross multiply
    422.54x = 633.57 × 203.05
  4. Step 4: Simplify right side
    422.54x = 128,644.80
  5. Step 5: Solve for x
    x = 128,644.80/422.54
  6. Step 6: Final answer
    x = 304.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.