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Finding the Fourth Proportional to 271.23, 404.67 and 259.26

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Solution

The fourth proportional to 271.23, 404.67 and 259.26 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.23 : 404.67 = 259.26 : x
  2. Step 2: Convert to fraction form
    271.23/404.67 = 259.26/x
  3. Step 3: Cross multiply
    271.23x = 404.67 × 259.26
  4. Step 4: Simplify right side
    271.23x = 104,914.74
  5. Step 5: Solve for x
    x = 104,914.74/271.23
  6. Step 6: Final answer
    x = 386.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.