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Finding the Fourth Proportional to 376.99, 520.29 and 211.24

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Solution

The fourth proportional to 376.99, 520.29 and 211.24 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.99 : 520.29 = 211.24 : x
  2. Step 2: Convert to fraction form
    376.99/520.29 = 211.24/x
  3. Step 3: Cross multiply
    376.99x = 520.29 × 211.24
  4. Step 4: Simplify right side
    376.99x = 109,906.71
  5. Step 5: Solve for x
    x = 109,906.71/376.99
  6. Step 6: Final answer
    x = 291.54

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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.