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Finding the Fourth Proportional to 371.71, 513.03 and 216.46

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Solution

The fourth proportional to 371.71, 513.03 and 216.46 is: 298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.71 : 513.03 = 216.46 : x
  2. Step 2: Convert to fraction form
    371.71/513.03 = 216.46/x
  3. Step 3: Cross multiply
    371.71x = 513.03 × 216.46
  4. Step 4: Simplify right side
    371.71x = 111,050.47
  5. Step 5: Solve for x
    x = 111,050.47/371.71
  6. Step 6: Final answer
    x = 298.76

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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.