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Finding the Fourth Proportional to 936.45, 1,403.73 and 359.19

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Solution

The fourth proportional to 936.45, 1,403.73 and 359.19 is: 538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.45 : 1,403.73 = 359.19 : x
  2. Step 2: Convert to fraction form
    936.45/1,403.73 = 359.19/x
  3. Step 3: Cross multiply
    936.45x = 1,403.73 × 359.19
  4. Step 4: Simplify right side
    936.45x = 504,205.78
  5. Step 5: Solve for x
    x = 504,205.78/936.45
  6. Step 6: Final answer
    x = 538.42

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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.