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Finding the Fourth Proportional to 938.93, 1,408.43 and 280.82

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Solution

The fourth proportional to 938.93, 1,408.43 and 280.82 is: 421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.93 : 1,408.43 = 280.82 : x
  2. Step 2: Convert to fraction form
    938.93/1,408.43 = 280.82/x
  3. Step 3: Cross multiply
    938.93x = 1,408.43 × 280.82
  4. Step 4: Simplify right side
    938.93x = 395,511.61
  5. Step 5: Solve for x
    x = 395,511.61/938.93
  6. Step 6: Final answer
    x = 421.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.