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Finding the Fourth Proportional to 588.36, 811.96 and 326.38

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Solution

The fourth proportional to 588.36, 811.96 and 326.38 is: 450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 811.96 = 326.38 : x
  2. Step 2: Convert to fraction form
    588.36/811.96 = 326.38/x
  3. Step 3: Cross multiply
    588.36x = 811.96 × 326.38
  4. Step 4: Simplify right side
    588.36x = 265,004.26
  5. Step 5: Solve for x
    x = 265,004.26/588.36
  6. Step 6: Final answer
    x = 450.41

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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.