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Finding the Fourth Proportional to 371.40, 511.74 and 350.52

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Solution

The fourth proportional to 371.40, 511.74 and 350.52 is: 482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.40 : 511.74 = 350.52 : x
  2. Step 2: Convert to fraction form
    371.40/511.74 = 350.52/x
  3. Step 3: Cross multiply
    371.40x = 511.74 × 350.52
  4. Step 4: Simplify right side
    371.40x = 179,375.10
  5. Step 5: Solve for x
    x = 179,375.10/371.40
  6. Step 6: Final answer
    x = 482.97

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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.