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Finding the Fourth Proportional to 1,362.28, 2,043.42 and 336.28

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Solution

The fourth proportional to 1,362.28, 2,043.42 and 336.28 is: 504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.28 : 2,043.42 = 336.28 : x
  2. Step 2: Convert to fraction form
    1,362.28/2,043.42 = 336.28/x
  3. Step 3: Cross multiply
    1,362.28x = 2,043.42 × 336.28
  4. Step 4: Simplify right side
    1,362.28x = 687,161.28
  5. Step 5: Solve for x
    x = 687,161.28/1,362.28
  6. Step 6: Final answer
    x = 504.42

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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.