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Finding the Fourth Proportional to 490.40, 676.94 and 315.75

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Solution

The fourth proportional to 490.40, 676.94 and 315.75 is: 435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.40 : 676.94 = 315.75 : x
  2. Step 2: Convert to fraction form
    490.40/676.94 = 315.75/x
  3. Step 3: Cross multiply
    490.40x = 676.94 × 315.75
  4. Step 4: Simplify right side
    490.40x = 213,742.23
  5. Step 5: Solve for x
    x = 213,742.23/490.40
  6. Step 6: Final answer
    x = 435.86

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