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Finding the Fourth Proportional to 344.69, 516.75 and 307.70

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Solution

The fourth proportional to 344.69, 516.75 and 307.70 is: 461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.69 : 516.75 = 307.70 : x
  2. Step 2: Convert to fraction form
    344.69/516.75 = 307.70/x
  3. Step 3: Cross multiply
    344.69x = 516.75 × 307.70
  4. Step 4: Simplify right side
    344.69x = 159,001.39
  5. Step 5: Solve for x
    x = 159,001.39/344.69
  6. Step 6: Final answer
    x = 461.29

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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.