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Finding the Fourth Proportional to 378.56, 568.12 and 276.14

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Solution

The fourth proportional to 378.56, 568.12 and 276.14 is: 414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.56 : 568.12 = 276.14 : x
  2. Step 2: Convert to fraction form
    378.56/568.12 = 276.14/x
  3. Step 3: Cross multiply
    378.56x = 568.12 × 276.14
  4. Step 4: Simplify right side
    378.56x = 156,880.66
  5. Step 5: Solve for x
    x = 156,880.66/378.56
  6. Step 6: Final answer
    x = 414.41

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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.