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Finding the Fourth Proportional to 450.21, 675.44 and 382.22

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Solution

The fourth proportional to 450.21, 675.44 and 382.22 is: 573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.21 : 675.44 = 382.22 : x
  2. Step 2: Convert to fraction form
    450.21/675.44 = 382.22/x
  3. Step 3: Cross multiply
    450.21x = 675.44 × 382.22
  4. Step 4: Simplify right side
    450.21x = 258,166.68
  5. Step 5: Solve for x
    x = 258,166.68/450.21
  6. Step 6: Final answer
    x = 573.44

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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.