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Finding the Fourth Proportional to 394, 590.64 and 150.37

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Solution

The fourth proportional to 394, 590.64 and 150.37 is: 225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394 : 590.64 = 150.37 : x
  2. Step 2: Convert to fraction form
    394/590.64 = 150.37/x
  3. Step 3: Cross multiply
    394x = 590.64 × 150.37
  4. Step 4: Simplify right side
    394x = 88,814.54
  5. Step 5: Solve for x
    x = 88,814.54/394
  6. Step 6: Final answer
    x = 225.42

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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.