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Finding the Fourth Proportional to 359.84, 496.71 and 212.60

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Solution

The fourth proportional to 359.84, 496.71 and 212.60 is: 293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.84 : 496.71 = 212.60 : x
  2. Step 2: Convert to fraction form
    359.84/496.71 = 212.60/x
  3. Step 3: Cross multiply
    359.84x = 496.71 × 212.60
  4. Step 4: Simplify right side
    359.84x = 105,601.79
  5. Step 5: Solve for x
    x = 105,601.79/359.84
  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.