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Finding the Fourth Proportional to 378.77, 567.96 and 205.23

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Solution

The fourth proportional to 378.77, 567.96 and 205.23 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.77 : 567.96 = 205.23 : x
  2. Step 2: Convert to fraction form
    378.77/567.96 = 205.23/x
  3. Step 3: Cross multiply
    378.77x = 567.96 × 205.23
  4. Step 4: Simplify right side
    378.77x = 116,562.43
  5. Step 5: Solve for x
    x = 116,562.43/378.77
  6. Step 6: Final answer
    x = 307.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.