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Finding the Fourth Proportional to 359.73, 538.38 and 251.19

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Solution

The fourth proportional to 359.73, 538.38 and 251.19 is: 375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.73 : 538.38 = 251.19 : x
  2. Step 2: Convert to fraction form
    359.73/538.38 = 251.19/x
  3. Step 3: Cross multiply
    359.73x = 538.38 × 251.19
  4. Step 4: Simplify right side
    359.73x = 135,235.67
  5. Step 5: Solve for x
    x = 135,235.67/359.73
  6. Step 6: Final answer
    x = 375.94

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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.