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Finding the Fourth Proportional to 513.24, 708.05 and 326.83

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Solution

The fourth proportional to 513.24, 708.05 and 326.83 is: 450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 708.05 = 326.83 : x
  2. Step 2: Convert to fraction form
    513.24/708.05 = 326.83/x
  3. Step 3: Cross multiply
    513.24x = 708.05 × 326.83
  4. Step 4: Simplify right side
    513.24x = 231,411.98
  5. Step 5: Solve for x
    x = 231,411.98/513.24
  6. Step 6: Final answer
    x = 450.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.