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Finding the Fourth Proportional to 271.74, 406.79 and 230.84

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Solution

The fourth proportional to 271.74, 406.79 and 230.84 is: 345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 406.79 = 230.84 : x
  2. Step 2: Convert to fraction form
    271.74/406.79 = 230.84/x
  3. Step 3: Cross multiply
    271.74x = 406.79 × 230.84
  4. Step 4: Simplify right side
    271.74x = 93,903.40
  5. Step 5: Solve for x
    x = 93,903.40/271.74
  6. Step 6: Final answer
    x = 345.56

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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.