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Finding the Fourth Proportional to 371.21, 511.70 and 277.82

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Solution

The fourth proportional to 371.21, 511.70 and 277.82 is: 382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.21 : 511.70 = 277.82 : x
  2. Step 2: Convert to fraction form
    371.21/511.70 = 277.82/x
  3. Step 3: Cross multiply
    371.21x = 511.70 × 277.82
  4. Step 4: Simplify right side
    371.21x = 142,160.49
  5. Step 5: Solve for x
    x = 142,160.49/371.21
  6. Step 6: Final answer
    x = 382.97

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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.