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Finding the Fourth Proportional to 936.20, 1,404.24 and 388.22

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Solution

The fourth proportional to 936.20, 1,404.24 and 388.22 is: 582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.20 : 1,404.24 = 388.22 : x
  2. Step 2: Convert to fraction form
    936.20/1,404.24 = 388.22/x
  3. Step 3: Cross multiply
    936.20x = 1,404.24 × 388.22
  4. Step 4: Simplify right side
    936.20x = 545,154.05
  5. Step 5: Solve for x
    x = 545,154.05/936.20
  6. Step 6: Final answer
    x = 582.31

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