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Finding the Fourth Proportional to 271.75, 405.04 and 269.62

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Solution

The fourth proportional to 271.75, 405.04 and 269.62 is: 401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.75 : 405.04 = 269.62 : x
  2. Step 2: Convert to fraction form
    271.75/405.04 = 269.62/x
  3. Step 3: Cross multiply
    271.75x = 405.04 × 269.62
  4. Step 4: Simplify right side
    271.75x = 109,206.38
  5. Step 5: Solve for x
    x = 109,206.38/271.75
  6. Step 6: Final answer
    x = 401.87

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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.