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Finding the Fourth Proportional to 359.05, 495.34 and 211.63

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Solution

The fourth proportional to 359.05, 495.34 and 211.63 is: 291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.05 : 495.34 = 211.63 : x
  2. Step 2: Convert to fraction form
    359.05/495.34 = 211.63/x
  3. Step 3: Cross multiply
    359.05x = 495.34 × 211.63
  4. Step 4: Simplify right side
    359.05x = 104,825.27
  5. Step 5: Solve for x
    x = 104,825.27/359.05
  6. Step 6: Final answer
    x = 291.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.