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Finding the Fourth Proportional to 359.87, 539.41 and 205.45

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Solution

The fourth proportional to 359.87, 539.41 and 205.45 is: 307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.87 : 539.41 = 205.45 : x
  2. Step 2: Convert to fraction form
    359.87/539.41 = 205.45/x
  3. Step 3: Cross multiply
    359.87x = 539.41 × 205.45
  4. Step 4: Simplify right side
    359.87x = 110,821.78
  5. Step 5: Solve for x
    x = 110,821.78/359.87
  6. Step 6: Final answer
    x = 307.95

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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.