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Finding the Fourth Proportional to 309.83, 464.97 and 212.12

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Solution

The fourth proportional to 309.83, 464.97 and 212.12 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.83 : 464.97 = 212.12 : x
  2. Step 2: Convert to fraction form
    309.83/464.97 = 212.12/x
  3. Step 3: Cross multiply
    309.83x = 464.97 × 212.12
  4. Step 4: Simplify right side
    309.83x = 98,629.65
  5. Step 5: Solve for x
    x = 98,629.65/309.83
  6. Step 6: Final answer
    x = 318.34

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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.