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Finding the Fourth Proportional to 359.53, 495.99 and 212.11

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Solution

The fourth proportional to 359.53, 495.99 and 212.11 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.53 : 495.99 = 212.11 : x
  2. Step 2: Convert to fraction form
    359.53/495.99 = 212.11/x
  3. Step 3: Cross multiply
    359.53x = 495.99 × 212.11
  4. Step 4: Simplify right side
    359.53x = 105,204.44
  5. Step 5: Solve for x
    x = 105,204.44/359.53
  6. Step 6: Final answer
    x = 292.62

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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.