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Finding the Fourth Proportional to 271.33, 405.01 and 259.49

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Solution

The fourth proportional to 271.33, 405.01 and 259.49 is: 387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.33 : 405.01 = 259.49 : x
  2. Step 2: Convert to fraction form
    271.33/405.01 = 259.49/x
  3. Step 3: Cross multiply
    271.33x = 405.01 × 259.49
  4. Step 4: Simplify right side
    271.33x = 105,094.75
  5. Step 5: Solve for x
    x = 105,094.75/271.33
  6. Step 6: Final answer
    x = 387.34

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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.