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Finding the Fourth Proportional to 377.22, 522.96 and 363.87

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Solution

The fourth proportional to 377.22, 522.96 and 363.87 is: 504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.22 : 522.96 = 363.87 : x
  2. Step 2: Convert to fraction form
    377.22/522.96 = 363.87/x
  3. Step 3: Cross multiply
    377.22x = 522.96 × 363.87
  4. Step 4: Simplify right side
    377.22x = 190,289.46
  5. Step 5: Solve for x
    x = 190,289.46/377.22
  6. Step 6: Final answer
    x = 504.45

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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.