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Finding the Fourth Proportional to 359.78, 539.67 and 243.94

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Solution

The fourth proportional to 359.78, 539.67 and 243.94 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.78 : 539.67 = 243.94 : x
  2. Step 2: Convert to fraction form
    359.78/539.67 = 243.94/x
  3. Step 3: Cross multiply
    359.78x = 539.67 × 243.94
  4. Step 4: Simplify right side
    359.78x = 131,647.75
  5. Step 5: Solve for x
    x = 131,647.75/359.78
  6. Step 6: Final answer
    x = 365.91

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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.