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Finding the Fourth Proportional to 378.63, 519.17 and 341.64

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Solution

The fourth proportional to 378.63, 519.17 and 341.64 is: 468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.63 : 519.17 = 341.64 : x
  2. Step 2: Convert to fraction form
    378.63/519.17 = 341.64/x
  3. Step 3: Cross multiply
    378.63x = 519.17 × 341.64
  4. Step 4: Simplify right side
    378.63x = 177,367.53
  5. Step 5: Solve for x
    x = 177,367.53/378.63
  6. Step 6: Final answer
    x = 468.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.