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Finding the Fourth Proportional to 557.82, 836.82 and 280.44

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Solution

The fourth proportional to 557.82, 836.82 and 280.44 is: 420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.82 : 836.82 = 280.44 : x
  2. Step 2: Convert to fraction form
    557.82/836.82 = 280.44/x
  3. Step 3: Cross multiply
    557.82x = 836.82 × 280.44
  4. Step 4: Simplify right side
    557.82x = 234,677.80
  5. Step 5: Solve for x
    x = 234,677.80/557.82
  6. Step 6: Final answer
    x = 420.71

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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.