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Finding the Fourth Proportional to 371.64, 512.90 and 277.21

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Solution

The fourth proportional to 371.64, 512.90 and 277.21 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.64 : 512.90 = 277.21 : x
  2. Step 2: Convert to fraction form
    371.64/512.90 = 277.21/x
  3. Step 3: Cross multiply
    371.64x = 512.90 × 277.21
  4. Step 4: Simplify right side
    371.64x = 142,181.01
  5. Step 5: Solve for x
    x = 142,181.01/371.64
  6. Step 6: Final answer
    x = 382.58

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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.