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Finding the Fourth Proportional to 344.68, 516 and 214.26

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Solution

The fourth proportional to 344.68, 516 and 214.26 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.68 : 516 = 214.26 : x
  2. Step 2: Convert to fraction form
    344.68/516 = 214.26/x
  3. Step 3: Cross multiply
    344.68x = 516 × 214.26
  4. Step 4: Simplify right side
    344.68x = 110,558.16
  5. Step 5: Solve for x
    x = 110,558.16/344.68
  6. Step 6: Final answer
    x = 320.76

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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.