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Finding the Fourth Proportional to 376.97, 522.63 and 363.61

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Solution

The fourth proportional to 376.97, 522.63 and 363.61 is: 504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.97 : 522.63 = 363.61 : x
  2. Step 2: Convert to fraction form
    376.97/522.63 = 363.61/x
  3. Step 3: Cross multiply
    376.97x = 522.63 × 363.61
  4. Step 4: Simplify right side
    376.97x = 190,029.06
  5. Step 5: Solve for x
    x = 190,029.06/376.97
  6. Step 6: Final answer
    x = 504.10

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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.