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Finding the Fourth Proportional to 344.30, 516.03 and 214.10

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Solution

The fourth proportional to 344.30, 516.03 and 214.10 is: 320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 516.03 = 214.10 : x
  2. Step 2: Convert to fraction form
    344.30/516.03 = 214.10/x
  3. Step 3: Cross multiply
    344.30x = 516.03 × 214.10
  4. Step 4: Simplify right side
    344.30x = 110,482.02
  5. Step 5: Solve for x
    x = 110,482.02/344.30
  6. Step 6: Final answer
    x = 320.89

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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.