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Finding the Fourth Proportional to 344.69, 475.77 and 213.81

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Solution

The fourth proportional to 344.69, 475.77 and 213.81 is: 295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.69 : 475.77 = 213.81 : x
  2. Step 2: Convert to fraction form
    344.69/475.77 = 213.81/x
  3. Step 3: Cross multiply
    344.69x = 475.77 × 213.81
  4. Step 4: Simplify right side
    344.69x = 101,724.38
  5. Step 5: Solve for x
    x = 101,724.38/344.69
  6. Step 6: Final answer
    x = 295.12

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Why These Related Problems?

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