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Finding the Fourth Proportional to 376.07, 563.28 and 238.77

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Solution

The fourth proportional to 376.07, 563.28 and 238.77 is: 357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.07 : 563.28 = 238.77 : x
  2. Step 2: Convert to fraction form
    376.07/563.28 = 238.77/x
  3. Step 3: Cross multiply
    376.07x = 563.28 × 238.77
  4. Step 4: Simplify right side
    376.07x = 134,494.37
  5. Step 5: Solve for x
    x = 134,494.37/376.07
  6. Step 6: Final answer
    x = 357.63

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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.