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Finding the Fourth Proportional to 344.38, 516.42 and 310.46

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Solution

The fourth proportional to 344.38, 516.42 and 310.46 is: 465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.38 : 516.42 = 310.46 : x
  2. Step 2: Convert to fraction form
    344.38/516.42 = 310.46/x
  3. Step 3: Cross multiply
    344.38x = 516.42 × 310.46
  4. Step 4: Simplify right side
    344.38x = 160,326.20
  5. Step 5: Solve for x
    x = 160,326.20/344.38
  6. Step 6: Final answer
    x = 465.55

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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.