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Finding the Fourth Proportional to 377.94, 522.12 and 285.42

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Solution

The fourth proportional to 377.94, 522.12 and 285.42 is: 394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 522.12 = 285.42 : x
  2. Step 2: Convert to fraction form
    377.94/522.12 = 285.42/x
  3. Step 3: Cross multiply
    377.94x = 522.12 × 285.42
  4. Step 4: Simplify right side
    377.94x = 149,023.49
  5. Step 5: Solve for x
    x = 149,023.49/377.94
  6. Step 6: Final answer
    x = 394.30

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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.