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Finding the Fourth Proportional to 371.74, 513 and 214.33

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Solution

The fourth proportional to 371.74, 513 and 214.33 is: 295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.74 : 513 = 214.33 : x
  2. Step 2: Convert to fraction form
    371.74/513 = 214.33/x
  3. Step 3: Cross multiply
    371.74x = 513 × 214.33
  4. Step 4: Simplify right side
    371.74x = 109,951.29
  5. Step 5: Solve for x
    x = 109,951.29/371.74
  6. Step 6: Final answer
    x = 295.77

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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.