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Finding the Fourth Proportional to 376.24, 564.26 and 255.24

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Solution

The fourth proportional to 376.24, 564.26 and 255.24 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.24 : 564.26 = 255.24 : x
  2. Step 2: Convert to fraction form
    376.24/564.26 = 255.24/x
  3. Step 3: Cross multiply
    376.24x = 564.26 × 255.24
  4. Step 4: Simplify right side
    376.24x = 144,022.56
  5. Step 5: Solve for x
    x = 144,022.56/376.24
  6. Step 6: Final answer
    x = 382.80

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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.