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Finding the Fourth Proportional to 420.71, 630.56 and 201.41

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Solution

The fourth proportional to 420.71, 630.56 and 201.41 is: 301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.71 : 630.56 = 201.41 : x
  2. Step 2: Convert to fraction form
    420.71/630.56 = 201.41/x
  3. Step 3: Cross multiply
    420.71x = 630.56 × 201.41
  4. Step 4: Simplify right side
    420.71x = 126,998.44
  5. Step 5: Solve for x
    x = 126,998.44/420.71
  6. Step 6: Final answer
    x = 301.87

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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.