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Finding the Fourth Proportional to 450.22, 621.60 and 419.21

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Solution

The fourth proportional to 450.22, 621.60 and 419.21 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.22 : 621.60 = 419.21 : x
  2. Step 2: Convert to fraction form
    450.22/621.60 = 419.21/x
  3. Step 3: Cross multiply
    450.22x = 621.60 × 419.21
  4. Step 4: Simplify right side
    450.22x = 260,584.06
  5. Step 5: Solve for x
    x = 260,584.06/450.22
  6. Step 6: Final answer
    x = 578.79

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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.