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Finding the Fourth Proportional to 616.66, 925.61 and 443.52

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Solution

The fourth proportional to 616.66, 925.61 and 443.52 is: 665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.66 : 925.61 = 443.52 : x
  2. Step 2: Convert to fraction form
    616.66/925.61 = 443.52/x
  3. Step 3: Cross multiply
    616.66x = 925.61 × 443.52
  4. Step 4: Simplify right side
    616.66x = 410,524.33
  5. Step 5: Solve for x
    x = 410,524.33/616.66
  6. Step 6: Final answer
    x = 665.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.