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Finding the Fourth Proportional to 372.28, 513.77 and 217.03

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Solution

The fourth proportional to 372.28, 513.77 and 217.03 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.28 : 513.77 = 217.03 : x
  2. Step 2: Convert to fraction form
    372.28/513.77 = 217.03/x
  3. Step 3: Cross multiply
    372.28x = 513.77 × 217.03
  4. Step 4: Simplify right side
    372.28x = 111,503.50
  5. Step 5: Solve for x
    x = 111,503.50/372.28
  6. Step 6: Final answer
    x = 299.52

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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.