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Finding the Fourth Proportional to 359.57, 538.86 and 250.49

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Solution

The fourth proportional to 359.57, 538.86 and 250.49 is: 375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.57 : 538.86 = 250.49 : x
  2. Step 2: Convert to fraction form
    359.57/538.86 = 250.49/x
  3. Step 3: Cross multiply
    359.57x = 538.86 × 250.49
  4. Step 4: Simplify right side
    359.57x = 134,979.04
  5. Step 5: Solve for x
    x = 134,979.04/359.57
  6. Step 6: Final answer
    x = 375.39

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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.