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Finding the Fourth Proportional to 616.23, 850.50 and 367.70

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Solution

The fourth proportional to 616.23, 850.50 and 367.70 is: 507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.23 : 850.50 = 367.70 : x
  2. Step 2: Convert to fraction form
    616.23/850.50 = 367.70/x
  3. Step 3: Cross multiply
    616.23x = 850.50 × 367.70
  4. Step 4: Simplify right side
    616.23x = 312,724.60
  5. Step 5: Solve for x
    x = 312,724.60/616.23
  6. Step 6: Final answer
    x = 507.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.