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Finding the Fourth Proportional to 344.73, 516.29 and 286.95

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Solution

The fourth proportional to 344.73, 516.29 and 286.95 is: 429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.73 : 516.29 = 286.95 : x
  2. Step 2: Convert to fraction form
    344.73/516.29 = 286.95/x
  3. Step 3: Cross multiply
    344.73x = 516.29 × 286.95
  4. Step 4: Simplify right side
    344.73x = 148,147.98
  5. Step 5: Solve for x
    x = 148,147.98/344.73
  6. Step 6: Final answer
    x = 429.75

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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.