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Finding the Fourth Proportional to 309.79, 464.50 and 213.67

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Solution

The fourth proportional to 309.79, 464.50 and 213.67 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.79 : 464.50 = 213.67 : x
  2. Step 2: Convert to fraction form
    309.79/464.50 = 213.67/x
  3. Step 3: Cross multiply
    309.79x = 464.50 × 213.67
  4. Step 4: Simplify right side
    309.79x = 99,249.72
  5. Step 5: Solve for x
    x = 99,249.72/309.79
  6. Step 6: Final answer
    x = 320.38

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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.