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Finding the Fourth Proportional to 418.67, 628.05 and 144.73

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Solution

The fourth proportional to 418.67, 628.05 and 144.73 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 628.05 = 144.73 : x
  2. Step 2: Convert to fraction form
    418.67/628.05 = 144.73/x
  3. Step 3: Cross multiply
    418.67x = 628.05 × 144.73
  4. Step 4: Simplify right side
    418.67x = 90,893.81
  5. Step 5: Solve for x
    x = 90,893.81/418.67
  6. Step 6: Final answer
    x = 217.10

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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.