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Finding the Fourth Proportional to 371.62, 512.26 and 292.78

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Solution

The fourth proportional to 371.62, 512.26 and 292.78 is: 403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.62 : 512.26 = 292.78 : x
  2. Step 2: Convert to fraction form
    371.62/512.26 = 292.78/x
  3. Step 3: Cross multiply
    371.62x = 512.26 × 292.78
  4. Step 4: Simplify right side
    371.62x = 149,979.48
  5. Step 5: Solve for x
    x = 149,979.48/371.62
  6. Step 6: Final answer
    x = 403.58

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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.