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Finding the Fourth Proportional to 550.35, 824.88 and 544.26

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Solution

The fourth proportional to 550.35, 824.88 and 544.26 is: 815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.35 : 824.88 = 544.26 : x
  2. Step 2: Convert to fraction form
    550.35/824.88 = 544.26/x
  3. Step 3: Cross multiply
    550.35x = 824.88 × 544.26
  4. Step 4: Simplify right side
    550.35x = 448,949.19
  5. Step 5: Solve for x
    x = 448,949.19/550.35
  6. Step 6: Final answer
    x = 815.75

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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.