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Finding the Fourth Proportional to 616.17, 850.26 and 367.44

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Solution

The fourth proportional to 616.17, 850.26 and 367.44 is: 507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.17 : 850.26 = 367.44 : x
  2. Step 2: Convert to fraction form
    616.17/850.26 = 367.44/x
  3. Step 3: Cross multiply
    616.17x = 850.26 × 367.44
  4. Step 4: Simplify right side
    616.17x = 312,419.53
  5. Step 5: Solve for x
    x = 312,419.53/616.17
  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.