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Finding the Fourth Proportional to 378.69, 566.72 and 232.37

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Solution

The fourth proportional to 378.69, 566.72 and 232.37 is: 347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.69 : 566.72 = 232.37 : x
  2. Step 2: Convert to fraction form
    378.69/566.72 = 232.37/x
  3. Step 3: Cross multiply
    378.69x = 566.72 × 232.37
  4. Step 4: Simplify right side
    378.69x = 131,688.98
  5. Step 5: Solve for x
    x = 131,688.98/378.69
  6. Step 6: Final answer
    x = 347.75

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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.