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Finding the Fourth Proportional to 490.26, 733.95 and 386.58

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Solution

The fourth proportional to 490.26, 733.95 and 386.58 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.26 : 733.95 = 386.58 : x
  2. Step 2: Convert to fraction form
    490.26/733.95 = 386.58/x
  3. Step 3: Cross multiply
    490.26x = 733.95 × 386.58
  4. Step 4: Simplify right side
    490.26x = 283,730.39
  5. Step 5: Solve for x
    x = 283,730.39/490.26
  6. Step 6: Final answer
    x = 578.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.