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Finding the Fourth Proportional to 344.70, 516.35 and 214.30

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Solution

The fourth proportional to 344.70, 516.35 and 214.30 is: 321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 516.35 = 214.30 : x
  2. Step 2: Convert to fraction form
    344.70/516.35 = 214.30/x
  3. Step 3: Cross multiply
    344.70x = 516.35 × 214.30
  4. Step 4: Simplify right side
    344.70x = 110,653.81
  5. Step 5: Solve for x
    x = 110,653.81/344.70
  6. Step 6: Final answer
    x = 321.01

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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.