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Finding the Fourth Proportional to 938.89, 1,408.62 and 418.82

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Solution

The fourth proportional to 938.89, 1,408.62 and 418.82 is: 628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.89 : 1,408.62 = 418.82 : x
  2. Step 2: Convert to fraction form
    938.89/1,408.62 = 418.82/x
  3. Step 3: Cross multiply
    938.89x = 1,408.62 × 418.82
  4. Step 4: Simplify right side
    938.89x = 589,957.15
  5. Step 5: Solve for x
    x = 589,957.15/938.89
  6. Step 6: Final answer
    x = 628.36

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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.