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Finding the Fourth Proportional to 378.32, 567.96 and 241.52

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Solution

The fourth proportional to 378.32, 567.96 and 241.52 is: 362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.32 : 567.96 = 241.52 : x
  2. Step 2: Convert to fraction form
    378.32/567.96 = 241.52/x
  3. Step 3: Cross multiply
    378.32x = 567.96 × 241.52
  4. Step 4: Simplify right side
    378.32x = 137,173.70
  5. Step 5: Solve for x
    x = 137,173.70/378.32
  6. Step 6: Final answer
    x = 362.59

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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.