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Finding the Fourth Proportional to 376.85, 520.08 and 211.09

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Solution

The fourth proportional to 376.85, 520.08 and 211.09 is: 291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.85 : 520.08 = 211.09 : x
  2. Step 2: Convert to fraction form
    376.85/520.08 = 211.09/x
  3. Step 3: Cross multiply
    376.85x = 520.08 × 211.09
  4. Step 4: Simplify right side
    376.85x = 109,783.69
  5. Step 5: Solve for x
    x = 109,783.69/376.85
  6. Step 6: Final answer
    x = 291.32

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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.