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Finding the Fourth Proportional to 443.88, 613.44 and 379.08

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Solution

The fourth proportional to 443.88, 613.44 and 379.08 is: 523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.88 : 613.44 = 379.08 : x
  2. Step 2: Convert to fraction form
    443.88/613.44 = 379.08/x
  3. Step 3: Cross multiply
    443.88x = 613.44 × 379.08
  4. Step 4: Simplify right side
    443.88x = 232,542.84
  5. Step 5: Solve for x
    x = 232,542.84/443.88
  6. Step 6: Final answer
    x = 523.89

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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.