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Finding the Fourth Proportional to 359.45, 496.04 and 212.11

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Solution

The fourth proportional to 359.45, 496.04 and 212.11 is: 292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.45 : 496.04 = 212.11 : x
  2. Step 2: Convert to fraction form
    359.45/496.04 = 212.11/x
  3. Step 3: Cross multiply
    359.45x = 496.04 × 212.11
  4. Step 4: Simplify right side
    359.45x = 105,212.74
  5. Step 5: Solve for x
    x = 105,212.74/359.45
  6. Step 6: Final answer
    x = 292.70

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