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Finding the Fourth Proportional to 708.83, 1,063.24 and 344.33

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Solution

The fourth proportional to 708.83, 1,063.24 and 344.33 is: 516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.83 : 1,063.24 = 344.33 : x
  2. Step 2: Convert to fraction form
    708.83/1,063.24 = 344.33/x
  3. Step 3: Cross multiply
    708.83x = 1,063.24 × 344.33
  4. Step 4: Simplify right side
    708.83x = 366,099.25
  5. Step 5: Solve for x
    x = 366,099.25/708.83
  6. Step 6: Final answer
    x = 516.49

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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.