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Finding the Fourth Proportional to 371.78, 513.06 and 214.44

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Solution

The fourth proportional to 371.78, 513.06 and 214.44 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.78 : 513.06 = 214.44 : x
  2. Step 2: Convert to fraction form
    371.78/513.06 = 214.44/x
  3. Step 3: Cross multiply
    371.78x = 513.06 × 214.44
  4. Step 4: Simplify right side
    371.78x = 110,020.59
  5. Step 5: Solve for x
    x = 110,020.59/371.78
  6. Step 6: Final answer
    x = 295.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.