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Finding the Fourth Proportional to 550.18, 823.62 and 333.10

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Solution

The fourth proportional to 550.18, 823.62 and 333.10 is: 498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.18 : 823.62 = 333.10 : x
  2. Step 2: Convert to fraction form
    550.18/823.62 = 333.10/x
  3. Step 3: Cross multiply
    550.18x = 823.62 × 333.10
  4. Step 4: Simplify right side
    550.18x = 274,347.82
  5. Step 5: Solve for x
    x = 274,347.82/550.18
  6. Step 6: Final answer
    x = 498.65

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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.