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Finding the Fourth Proportional to 378.27, 567.41 and 232.07

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Solution

The fourth proportional to 378.27, 567.41 and 232.07 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 567.41 = 232.07 : x
  2. Step 2: Convert to fraction form
    378.27/567.41 = 232.07/x
  3. Step 3: Cross multiply
    378.27x = 567.41 × 232.07
  4. Step 4: Simplify right side
    378.27x = 131,674.84
  5. Step 5: Solve for x
    x = 131,674.84/378.27
  6. Step 6: Final answer
    x = 348.10

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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.