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Finding the Fourth Proportional to 615.83, 849.85 and 367.12

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Solution

The fourth proportional to 615.83, 849.85 and 367.12 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.83 : 849.85 = 367.12 : x
  2. Step 2: Convert to fraction form
    615.83/849.85 = 367.12/x
  3. Step 3: Cross multiply
    615.83x = 849.85 × 367.12
  4. Step 4: Simplify right side
    615.83x = 311,998.46
  5. Step 5: Solve for x
    x = 311,998.46/615.83
  6. Step 6: Final answer
    x = 506.63

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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.