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Finding the Fourth Proportional to 616, 850.20 and 367.36

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Solution

The fourth proportional to 616, 850.20 and 367.36 is: 507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    616 : 850.20 = 367.36 : x
  2. Step 2: Convert to fraction form
    616/850.20 = 367.36/x
  3. Step 3: Cross multiply
    616x = 850.20 × 367.36
  4. Step 4: Simplify right side
    616x = 312,329.47
  5. Step 5: Solve for x
    x = 312,329.47/616
  6. Step 6: Final answer
    x = 507.03

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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.