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Finding the Fourth Proportional to 344.35, 515.34 and 214.30

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Solution

The fourth proportional to 344.35, 515.34 and 214.30 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.35 : 515.34 = 214.30 : x
  2. Step 2: Convert to fraction form
    344.35/515.34 = 214.30/x
  3. Step 3: Cross multiply
    344.35x = 515.34 × 214.30
  4. Step 4: Simplify right side
    344.35x = 110,437.36
  5. Step 5: Solve for x
    x = 110,437.36/344.35
  6. Step 6: Final answer
    x = 320.71

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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.