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Finding the Fourth Proportional to 309.82, 464.34 and 212.32

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Solution

The fourth proportional to 309.82, 464.34 and 212.32 is: 318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.82 : 464.34 = 212.32 : x
  2. Step 2: Convert to fraction form
    309.82/464.34 = 212.32/x
  3. Step 3: Cross multiply
    309.82x = 464.34 × 212.32
  4. Step 4: Simplify right side
    309.82x = 98,588.67
  5. Step 5: Solve for x
    x = 98,588.67/309.82
  6. Step 6: Final answer
    x = 318.21

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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.