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Finding the Fourth Proportional to 371.68, 513.50 and 314.44

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Solution

The fourth proportional to 371.68, 513.50 and 314.44 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.68 : 513.50 = 314.44 : x
  2. Step 2: Convert to fraction form
    371.68/513.50 = 314.44/x
  3. Step 3: Cross multiply
    371.68x = 513.50 × 314.44
  4. Step 4: Simplify right side
    371.68x = 161,464.94
  5. Step 5: Solve for x
    x = 161,464.94/371.68
  6. Step 6: Final answer
    x = 434.42

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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.