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Finding the Fourth Proportional to 513.49, 708.04 and 326.68

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Solution

The fourth proportional to 513.49, 708.04 and 326.68 is: 450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.49 : 708.04 = 326.68 : x
  2. Step 2: Convert to fraction form
    513.49/708.04 = 326.68/x
  3. Step 3: Cross multiply
    513.49x = 708.04 × 326.68
  4. Step 4: Simplify right side
    513.49x = 231,305.13
  5. Step 5: Solve for x
    x = 231,305.13/513.49
  6. Step 6: Final answer
    x = 450.46

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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.