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Finding the Fourth Proportional to 359.33, 539.27 and 263.39

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Solution

The fourth proportional to 359.33, 539.27 and 263.39 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.33 : 539.27 = 263.39 : x
  2. Step 2: Convert to fraction form
    359.33/539.27 = 263.39/x
  3. Step 3: Cross multiply
    359.33x = 539.27 × 263.39
  4. Step 4: Simplify right side
    359.33x = 142,037.01
  5. Step 5: Solve for x
    x = 142,037.01/359.33
  6. Step 6: Final answer
    x = 395.28

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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.