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Finding the Fourth Proportional to 271.36, 406.72 and 260.48

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Solution

The fourth proportional to 271.36, 406.72 and 260.48 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.36 : 406.72 = 260.48 : x
  2. Step 2: Convert to fraction form
    271.36/406.72 = 260.48/x
  3. Step 3: Cross multiply
    271.36x = 406.72 × 260.48
  4. Step 4: Simplify right side
    271.36x = 105,942.43
  5. Step 5: Solve for x
    x = 105,942.43/271.36
  6. Step 6: Final answer
    x = 390.41

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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.