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Finding the Fourth Proportional to 443.80, 616.99 and 443.80

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Solution

The fourth proportional to 443.80, 616.99 and 443.80 is: 616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.80 : 616.99 = 443.80 : x
  2. Step 2: Convert to fraction form
    443.80/616.99 = 443.80/x
  3. Step 3: Cross multiply
    443.80x = 616.99 × 443.80
  4. Step 4: Simplify right side
    443.80x = 273,820.16
  5. Step 5: Solve for x
    x = 273,820.16/443.80
  6. Step 6: Final answer
    x = 616.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.