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Finding the Fourth Proportional to 550.86, 824.97 and 319.26

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Solution

The fourth proportional to 550.86, 824.97 and 319.26 is: 478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.86 : 824.97 = 319.26 : x
  2. Step 2: Convert to fraction form
    550.86/824.97 = 319.26/x
  3. Step 3: Cross multiply
    550.86x = 824.97 × 319.26
  4. Step 4: Simplify right side
    550.86x = 263,379.92
  5. Step 5: Solve for x
    x = 263,379.92/550.86
  6. Step 6: Final answer
    x = 478.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.