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Finding the Fourth Proportional to 420.21, 630.68 and 201.11

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Solution

The fourth proportional to 420.21, 630.68 and 201.11 is: 301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.21 : 630.68 = 201.11 : x
  2. Step 2: Convert to fraction form
    420.21/630.68 = 201.11/x
  3. Step 3: Cross multiply
    420.21x = 630.68 × 201.11
  4. Step 4: Simplify right side
    420.21x = 126,831.90
  5. Step 5: Solve for x
    x = 126,831.90/420.21
  6. Step 6: Final answer
    x = 301.83

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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.