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Finding the Fourth Proportional to 380.27, 566.08 and 378.22

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Solution

The fourth proportional to 380.27, 566.08 and 378.22 is: 563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.27 : 566.08 = 378.22 : x
  2. Step 2: Convert to fraction form
    380.27/566.08 = 378.22/x
  3. Step 3: Cross multiply
    380.27x = 566.08 × 378.22
  4. Step 4: Simplify right side
    380.27x = 214,099.95
  5. Step 5: Solve for x
    x = 214,099.95/380.27
  6. Step 6: Final answer
    x = 563.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.