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Finding the Fourth Proportional to 378.96, 568.68 and 216.96

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Solution

The fourth proportional to 378.96, 568.68 and 216.96 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 568.68 = 216.96 : x
  2. Step 2: Convert to fraction form
    378.96/568.68 = 216.96/x
  3. Step 3: Cross multiply
    378.96x = 568.68 × 216.96
  4. Step 4: Simplify right side
    378.96x = 123,380.81
  5. Step 5: Solve for x
    x = 123,380.81/378.96
  6. Step 6: Final answer
    x = 325.58

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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.