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Finding the Fourth Proportional to 550.48, 823.82 and 319.03

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Solution

The fourth proportional to 550.48, 823.82 and 319.03 is: 477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.48 : 823.82 = 319.03 : x
  2. Step 2: Convert to fraction form
    550.48/823.82 = 319.03/x
  3. Step 3: Cross multiply
    550.48x = 823.82 × 319.03
  4. Step 4: Simplify right side
    550.48x = 262,823.29
  5. Step 5: Solve for x
    x = 262,823.29/550.48
  6. Step 6: Final answer
    x = 477.44

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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.