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Finding the Fourth Proportional to 616.66, 850.91 and 367.92

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Solution

The fourth proportional to 616.66, 850.91 and 367.92 is: 507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.66 : 850.91 = 367.92 : x
  2. Step 2: Convert to fraction form
    616.66/850.91 = 367.92/x
  3. Step 3: Cross multiply
    616.66x = 850.91 × 367.92
  4. Step 4: Simplify right side
    616.66x = 313,064.97
  5. Step 5: Solve for x
    x = 313,064.97/616.66
  6. Step 6: Final answer
    x = 507.68

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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.