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Finding the Fourth Proportional to 551.74, 827.48 and 259.22

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Solution

The fourth proportional to 551.74, 827.48 and 259.22 is: 388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.74 : 827.48 = 259.22 : x
  2. Step 2: Convert to fraction form
    551.74/827.48 = 259.22/x
  3. Step 3: Cross multiply
    551.74x = 827.48 × 259.22
  4. Step 4: Simplify right side
    551.74x = 214,499.37
  5. Step 5: Solve for x
    x = 214,499.37/551.74
  6. Step 6: Final answer
    x = 388.77

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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.