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Finding the Fourth Proportional to 376.37, 564.15 and 254.60

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Solution

The fourth proportional to 376.37, 564.15 and 254.60 is: 381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.37 : 564.15 = 254.60 : x
  2. Step 2: Convert to fraction form
    376.37/564.15 = 254.60/x
  3. Step 3: Cross multiply
    376.37x = 564.15 × 254.60
  4. Step 4: Simplify right side
    376.37x = 143,632.59
  5. Step 5: Solve for x
    x = 143,632.59/376.37
  6. Step 6: Final answer
    x = 381.63

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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.