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Finding the Fourth Proportional to 490.42, 676.55 and 293.90

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Solution

The fourth proportional to 490.42, 676.55 and 293.90 is: 405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 676.55 = 293.90 : x
  2. Step 2: Convert to fraction form
    490.42/676.55 = 293.90/x
  3. Step 3: Cross multiply
    490.42x = 676.55 × 293.90
  4. Step 4: Simplify right side
    490.42x = 198,833.19
  5. Step 5: Solve for x
    x = 198,833.19/490.42
  6. Step 6: Final answer
    x = 405.43

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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.