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Finding the Fourth Proportional to 378.28, 566.68 and 308.96

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Solution

The fourth proportional to 378.28, 566.68 and 308.96 is: 462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.28 : 566.68 = 308.96 : x
  2. Step 2: Convert to fraction form
    378.28/566.68 = 308.96/x
  3. Step 3: Cross multiply
    378.28x = 566.68 × 308.96
  4. Step 4: Simplify right side
    378.28x = 175,078.62
  5. Step 5: Solve for x
    x = 175,078.62/378.28
  6. Step 6: Final answer
    x = 462.83

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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.