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Finding the Fourth Proportional to 371.80, 512.94 and 216.46

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Solution

The fourth proportional to 371.80, 512.94 and 216.46 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.80 : 512.94 = 216.46 : x
  2. Step 2: Convert to fraction form
    371.80/512.94 = 216.46/x
  3. Step 3: Cross multiply
    371.80x = 512.94 × 216.46
  4. Step 4: Simplify right side
    371.80x = 111,030.99
  5. Step 5: Solve for x
    x = 111,030.99/371.80
  6. Step 6: Final answer
    x = 298.63

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Why These Related Problems?

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