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Finding the Fourth Proportional to 344.43, 515.16 and 214.11

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Solution

The fourth proportional to 344.43, 515.16 and 214.11 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.43 : 515.16 = 214.11 : x
  2. Step 2: Convert to fraction form
    344.43/515.16 = 214.11/x
  3. Step 3: Cross multiply
    344.43x = 515.16 × 214.11
  4. Step 4: Simplify right side
    344.43x = 110,300.91
  5. Step 5: Solve for x
    x = 110,300.91/344.43
  6. Step 6: Final answer
    x = 320.24

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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.