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Finding the Fourth Proportional to 378.20, 566.89 and 233.75

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Solution

The fourth proportional to 378.20, 566.89 and 233.75 is: 350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 566.89 = 233.75 : x
  2. Step 2: Convert to fraction form
    378.20/566.89 = 233.75/x
  3. Step 3: Cross multiply
    378.20x = 566.89 × 233.75
  4. Step 4: Simplify right side
    378.20x = 132,510.54
  5. Step 5: Solve for x
    x = 132,510.54/378.20
  6. Step 6: Final answer
    x = 350.37

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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.