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Finding the Fourth Proportional to 490.44, 676.62 and 315.84

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Solution

The fourth proportional to 490.44, 676.62 and 315.84 is: 435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 676.62 = 315.84 : x
  2. Step 2: Convert to fraction form
    490.44/676.62 = 315.84/x
  3. Step 3: Cross multiply
    490.44x = 676.62 × 315.84
  4. Step 4: Simplify right side
    490.44x = 213,703.66
  5. Step 5: Solve for x
    x = 213,703.66/490.44
  6. Step 6: Final answer
    x = 435.74

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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.