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Finding the Fourth Proportional to 371.34, 513.36 and 367.84

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Solution

The fourth proportional to 371.34, 513.36 and 367.84 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.34 : 513.36 = 367.84 : x
  2. Step 2: Convert to fraction form
    371.34/513.36 = 367.84/x
  3. Step 3: Cross multiply
    371.34x = 513.36 × 367.84
  4. Step 4: Simplify right side
    371.34x = 188,834.34
  5. Step 5: Solve for x
    x = 188,834.34/371.34
  6. Step 6: Final answer
    x = 508.52

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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.