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Finding the Fourth Proportional to 376.88, 519.72 and 298.28

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Solution

The fourth proportional to 376.88, 519.72 and 298.28 is: 411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.88 : 519.72 = 298.28 : x
  2. Step 2: Convert to fraction form
    376.88/519.72 = 298.28/x
  3. Step 3: Cross multiply
    376.88x = 519.72 × 298.28
  4. Step 4: Simplify right side
    376.88x = 155,022.08
  5. Step 5: Solve for x
    x = 155,022.08/376.88
  6. Step 6: Final answer
    x = 411.33

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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.