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Finding the Fourth Proportional to 271.51, 406.63 and 262.42

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Solution

The fourth proportional to 271.51, 406.63 and 262.42 is: 393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.51 : 406.63 = 262.42 : x
  2. Step 2: Convert to fraction form
    271.51/406.63 = 262.42/x
  3. Step 3: Cross multiply
    271.51x = 406.63 × 262.42
  4. Step 4: Simplify right side
    271.51x = 106,707.84
  5. Step 5: Solve for x
    x = 106,707.84/271.51
  6. Step 6: Final answer
    x = 393.02

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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.