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Finding the Fourth Proportional to 359.98, 496.80 and 212.65

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Solution

The fourth proportional to 359.98, 496.80 and 212.65 is: 293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.98 : 496.80 = 212.65 : x
  2. Step 2: Convert to fraction form
    359.98/496.80 = 212.65/x
  3. Step 3: Cross multiply
    359.98x = 496.80 × 212.65
  4. Step 4: Simplify right side
    359.98x = 105,643.28
  5. Step 5: Solve for x
    x = 105,643.28/359.98
  6. Step 6: Final answer
    x = 293.47

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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.