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Finding the Fourth Proportional to 490.34, 676.70 and 293.84

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Solution

The fourth proportional to 490.34, 676.70 and 293.84 is: 405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 676.70 = 293.84 : x
  2. Step 2: Convert to fraction form
    490.34/676.70 = 293.84/x
  3. Step 3: Cross multiply
    490.34x = 676.70 × 293.84
  4. Step 4: Simplify right side
    490.34x = 198,843.95
  5. Step 5: Solve for x
    x = 198,843.95/490.34
  6. Step 6: Final answer
    x = 405.53

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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.