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Finding the Fourth Proportional to 378.26, 518.92 and 368.72

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Solution

The fourth proportional to 378.26, 518.92 and 368.72 is: 505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.26 : 518.92 = 368.72 : x
  2. Step 2: Convert to fraction form
    378.26/518.92 = 368.72/x
  3. Step 3: Cross multiply
    378.26x = 518.92 × 368.72
  4. Step 4: Simplify right side
    378.26x = 191,336.18
  5. Step 5: Solve for x
    x = 191,336.18/378.26
  6. Step 6: Final answer
    x = 505.83

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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.