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Finding the Fourth Proportional to 550.45, 825.63 and 414.19

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Solution

The fourth proportional to 550.45, 825.63 and 414.19 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.45 : 825.63 = 414.19 : x
  2. Step 2: Convert to fraction form
    550.45/825.63 = 414.19/x
  3. Step 3: Cross multiply
    550.45x = 825.63 × 414.19
  4. Step 4: Simplify right side
    550.45x = 341,967.69
  5. Step 5: Solve for x
    x = 341,967.69/550.45
  6. Step 6: Final answer
    x = 621.25

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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.