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Finding the Fourth Proportional to 359.09, 537.91 and 214.73

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Solution

The fourth proportional to 359.09, 537.91 and 214.73 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.09 : 537.91 = 214.73 : x
  2. Step 2: Convert to fraction form
    359.09/537.91 = 214.73/x
  3. Step 3: Cross multiply
    359.09x = 537.91 × 214.73
  4. Step 4: Simplify right side
    359.09x = 115,505.41
  5. Step 5: Solve for x
    x = 115,505.41/359.09
  6. Step 6: Final answer
    x = 321.66

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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.