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Finding the Fourth Proportional to 550.24, 823.20 and 366.08

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Solution

The fourth proportional to 550.24, 823.20 and 366.08 is: 547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.24 : 823.20 = 366.08 : x
  2. Step 2: Convert to fraction form
    550.24/823.20 = 366.08/x
  3. Step 3: Cross multiply
    550.24x = 823.20 × 366.08
  4. Step 4: Simplify right side
    550.24x = 301,357.06
  5. Step 5: Solve for x
    x = 301,357.06/550.24
  6. Step 6: Final answer
    x = 547.68

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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.