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Finding the Fourth Proportional to 359.70, 539.91 and 197.46

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Solution

The fourth proportional to 359.70, 539.91 and 197.46 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.70 : 539.91 = 197.46 : x
  2. Step 2: Convert to fraction form
    359.70/539.91 = 197.46/x
  3. Step 3: Cross multiply
    359.70x = 539.91 × 197.46
  4. Step 4: Simplify right side
    359.70x = 106,610.63
  5. Step 5: Solve for x
    x = 106,610.63/359.70
  6. Step 6: Final answer
    x = 296.39

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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.