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Finding the Fourth Proportional to 616.03, 849.77 and 367.34

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Solution

The fourth proportional to 616.03, 849.77 and 367.34 is: 506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.03 : 849.77 = 367.34 : x
  2. Step 2: Convert to fraction form
    616.03/849.77 = 367.34/x
  3. Step 3: Cross multiply
    616.03x = 849.77 × 367.34
  4. Step 4: Simplify right side
    616.03x = 312,151.87
  5. Step 5: Solve for x
    x = 312,151.87/616.03
  6. Step 6: Final answer
    x = 506.71

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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.