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Finding the Fourth Proportional to 371.24, 511.62 and 267.56

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Solution

The fourth proportional to 371.24, 511.62 and 267.56 is: 368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.24 : 511.62 = 267.56 : x
  2. Step 2: Convert to fraction form
    371.24/511.62 = 267.56/x
  3. Step 3: Cross multiply
    371.24x = 511.62 × 267.56
  4. Step 4: Simplify right side
    371.24x = 136,889.05
  5. Step 5: Solve for x
    x = 136,889.05/371.24
  6. Step 6: Final answer
    x = 368.73

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