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Finding the Fourth Proportional to 378.54, 567.96 and 205.44

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Solution

The fourth proportional to 378.54, 567.96 and 205.44 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.54 : 567.96 = 205.44 : x
  2. Step 2: Convert to fraction form
    378.54/567.96 = 205.44/x
  3. Step 3: Cross multiply
    378.54x = 567.96 × 205.44
  4. Step 4: Simplify right side
    378.54x = 116,681.70
  5. Step 5: Solve for x
    x = 116,681.70/378.54
  6. Step 6: Final answer
    x = 308.24

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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.