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Finding the Fourth Proportional to 650.90, 974.91 and 419.03

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Solution

The fourth proportional to 650.90, 974.91 and 419.03 is: 627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.90 : 974.91 = 419.03 : x
  2. Step 2: Convert to fraction form
    650.90/974.91 = 419.03/x
  3. Step 3: Cross multiply
    650.90x = 974.91 × 419.03
  4. Step 4: Simplify right side
    650.90x = 408,518.97
  5. Step 5: Solve for x
    x = 408,518.97/650.90
  6. Step 6: Final answer
    x = 627.63

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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.