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Finding the Fourth Proportional to 378.28, 518.60 and 368.20

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Solution

The fourth proportional to 378.28, 518.60 and 368.20 is: 504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.28 : 518.60 = 368.20 : x
  2. Step 2: Convert to fraction form
    378.28/518.60 = 368.20/x
  3. Step 3: Cross multiply
    378.28x = 518.60 × 368.20
  4. Step 4: Simplify right side
    378.28x = 190,948.52
  5. Step 5: Solve for x
    x = 190,948.52/378.28
  6. Step 6: Final answer
    x = 504.78

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Why These Related Problems?

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