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Finding the Fourth Proportional to 550.80, 757.68 and 450.09

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Solution

The fourth proportional to 550.80, 757.68 and 450.09 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.80 : 757.68 = 450.09 : x
  2. Step 2: Convert to fraction form
    550.80/757.68 = 450.09/x
  3. Step 3: Cross multiply
    550.80x = 757.68 × 450.09
  4. Step 4: Simplify right side
    550.80x = 341,024.19
  5. Step 5: Solve for x
    x = 341,024.19/550.80
  6. Step 6: Final answer
    x = 619.14

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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.