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Finding the Fourth Proportional to 376.19, 563.97 and 294.77

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Solution

The fourth proportional to 376.19, 563.97 and 294.77 is: 441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.19 : 563.97 = 294.77 : x
  2. Step 2: Convert to fraction form
    376.19/563.97 = 294.77/x
  3. Step 3: Cross multiply
    376.19x = 563.97 × 294.77
  4. Step 4: Simplify right side
    376.19x = 166,241.44
  5. Step 5: Solve for x
    x = 166,241.44/376.19
  6. Step 6: Final answer
    x = 441.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.