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Finding the Fourth Proportional to 628.89, 943.73 and 443.68

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Solution

The fourth proportional to 628.89, 943.73 and 443.68 is: 665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.89 : 943.73 = 443.68 : x
  2. Step 2: Convert to fraction form
    628.89/943.73 = 443.68/x
  3. Step 3: Cross multiply
    628.89x = 943.73 × 443.68
  4. Step 4: Simplify right side
    628.89x = 418,711.21
  5. Step 5: Solve for x
    x = 418,711.21/628.89
  6. Step 6: Final answer
    x = 665.80

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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.