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Finding the Fourth Proportional to 271.87, 405.42 and 265.39

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Solution

The fourth proportional to 271.87, 405.42 and 265.39 is: 395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.87 : 405.42 = 265.39 : x
  2. Step 2: Convert to fraction form
    271.87/405.42 = 265.39/x
  3. Step 3: Cross multiply
    271.87x = 405.42 × 265.39
  4. Step 4: Simplify right side
    271.87x = 107,594.41
  5. Step 5: Solve for x
    x = 107,594.41/271.87
  6. Step 6: Final answer
    x = 395.76

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