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Finding the Fourth Proportional to 359.67, 540.08 and 223.57

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Solution

The fourth proportional to 359.67, 540.08 and 223.57 is: 335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.67 : 540.08 = 223.57 : x
  2. Step 2: Convert to fraction form
    359.67/540.08 = 223.57/x
  3. Step 3: Cross multiply
    359.67x = 540.08 × 223.57
  4. Step 4: Simplify right side
    359.67x = 120,745.69
  5. Step 5: Solve for x
    x = 120,745.69/359.67
  6. Step 6: Final answer
    x = 335.71

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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.