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Finding the Fourth Proportional to 376.75, 519.92 and 210.97

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Solution

The fourth proportional to 376.75, 519.92 and 210.97 is: 291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.75 : 519.92 = 210.97 : x
  2. Step 2: Convert to fraction form
    376.75/519.92 = 210.97/x
  3. Step 3: Cross multiply
    376.75x = 519.92 × 210.97
  4. Step 4: Simplify right side
    376.75x = 109,684.98
  5. Step 5: Solve for x
    x = 109,684.98/376.75
  6. Step 6: Final answer
    x = 291.13

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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.