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Finding the Fourth Proportional to 1,378.25, 2,067.39 and 352.25

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Solution

The fourth proportional to 1,378.25, 2,067.39 and 352.25 is: 528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.25 : 2,067.39 = 352.25 : x
  2. Step 2: Convert to fraction form
    1,378.25/2,067.39 = 352.25/x
  3. Step 3: Cross multiply
    1,378.25x = 2,067.39 × 352.25
  4. Step 4: Simplify right side
    1,378.25x = 728,238.13
  5. Step 5: Solve for x
    x = 728,238.13/1,378.25
  6. Step 6: Final answer
    x = 528.38

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Why These Related Problems?

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