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Finding the Fourth Proportional to 359.58, 496.28 and 212.34

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Solution

The fourth proportional to 359.58, 496.28 and 212.34 is: 293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.58 : 496.28 = 212.34 : x
  2. Step 2: Convert to fraction form
    359.58/496.28 = 212.34/x
  3. Step 3: Cross multiply
    359.58x = 496.28 × 212.34
  4. Step 4: Simplify right side
    359.58x = 105,380.10
  5. Step 5: Solve for x
    x = 105,380.10/359.58
  6. Step 6: Final answer
    x = 293.06

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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.