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Finding the Fourth Proportional to 376.88, 566.26 and 239.98

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Solution

The fourth proportional to 376.88, 566.26 and 239.98 is: 360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.88 : 566.26 = 239.98 : x
  2. Step 2: Convert to fraction form
    376.88/566.26 = 239.98/x
  3. Step 3: Cross multiply
    376.88x = 566.26 × 239.98
  4. Step 4: Simplify right side
    376.88x = 135,891.07
  5. Step 5: Solve for x
    x = 135,891.07/376.88
  6. Step 6: Final answer
    x = 360.57

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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.