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Finding the Fourth Proportional to 490.59, 676.98 and 294.09

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Solution

The fourth proportional to 490.59, 676.98 and 294.09 is: 405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.59 : 676.98 = 294.09 : x
  2. Step 2: Convert to fraction form
    490.59/676.98 = 294.09/x
  3. Step 3: Cross multiply
    490.59x = 676.98 × 294.09
  4. Step 4: Simplify right side
    490.59x = 199,093.05
  5. Step 5: Solve for x
    x = 199,093.05/490.59
  6. Step 6: Final answer
    x = 405.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.