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Finding the Fourth Proportional to 394.09, 590.56 and 150.33

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Solution

The fourth proportional to 394.09, 590.56 and 150.33 is: 225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.09 : 590.56 = 150.33 : x
  2. Step 2: Convert to fraction form
    394.09/590.56 = 150.33/x
  3. Step 3: Cross multiply
    394.09x = 590.56 × 150.33
  4. Step 4: Simplify right side
    394.09x = 88,780.72
  5. Step 5: Solve for x
    x = 88,780.72/394.09
  6. Step 6: Final answer
    x = 225.28

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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.