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Finding the Fourth Proportional to 551.75, 827.21 and 259.34

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Solution

The fourth proportional to 551.75, 827.21 and 259.34 is: 388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.75 : 827.21 = 259.34 : x
  2. Step 2: Convert to fraction form
    551.75/827.21 = 259.34/x
  3. Step 3: Cross multiply
    551.75x = 827.21 × 259.34
  4. Step 4: Simplify right side
    551.75x = 214,525.15
  5. Step 5: Solve for x
    x = 214,525.15/551.75
  6. Step 6: Final answer
    x = 388.81

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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.