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Finding the Fourth Proportional to 550.68, 825.71 and 290.41

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Solution

The fourth proportional to 550.68, 825.71 and 290.41 is: 435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 825.71 = 290.41 : x
  2. Step 2: Convert to fraction form
    550.68/825.71 = 290.41/x
  3. Step 3: Cross multiply
    550.68x = 825.71 × 290.41
  4. Step 4: Simplify right side
    550.68x = 239,794.44
  5. Step 5: Solve for x
    x = 239,794.44/550.68
  6. Step 6: Final answer
    x = 435.45

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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.