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Finding the Fourth Proportional to 616.65, 850.68 and 367.83

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Solution

The fourth proportional to 616.65, 850.68 and 367.83 is: 507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.65 : 850.68 = 367.83 : x
  2. Step 2: Convert to fraction form
    616.65/850.68 = 367.83/x
  3. Step 3: Cross multiply
    616.65x = 850.68 × 367.83
  4. Step 4: Simplify right side
    616.65x = 312,905.62
  5. Step 5: Solve for x
    x = 312,905.62/616.65
  6. Step 6: Final answer
    x = 507.43

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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.