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Finding the Fourth Proportional to 490.89, 677.45 and 304.48

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Solution

The fourth proportional to 490.89, 677.45 and 304.48 is: 420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.89 : 677.45 = 304.48 : x
  2. Step 2: Convert to fraction form
    490.89/677.45 = 304.48/x
  3. Step 3: Cross multiply
    490.89x = 677.45 × 304.48
  4. Step 4: Simplify right side
    490.89x = 206,266.06
  5. Step 5: Solve for x
    x = 206,266.06/490.89
  6. Step 6: Final answer
    x = 420.18

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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.