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Finding the Fourth Proportional to 615.87, 849.96 and 367.27

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Solution

The fourth proportional to 615.87, 849.96 and 367.27 is: 506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.87 : 849.96 = 367.27 : x
  2. Step 2: Convert to fraction form
    615.87/849.96 = 367.27/x
  3. Step 3: Cross multiply
    615.87x = 849.96 × 367.27
  4. Step 4: Simplify right side
    615.87x = 312,162.68
  5. Step 5: Solve for x
    x = 312,162.68/615.87
  6. Step 6: Final answer
    x = 506.86

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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.