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Finding the Fourth Proportional to 333.32, 499.44 and 211.22

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Solution

The fourth proportional to 333.32, 499.44 and 211.22 is: 316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.32 : 499.44 = 211.22 : x
  2. Step 2: Convert to fraction form
    333.32/499.44 = 211.22/x
  3. Step 3: Cross multiply
    333.32x = 499.44 × 211.22
  4. Step 4: Simplify right side
    333.32x = 105,491.72
  5. Step 5: Solve for x
    x = 105,491.72/333.32
  6. Step 6: Final answer
    x = 316.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.