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Finding the Fourth Proportional to 588.27, 811.83 and 326.27

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Solution

The fourth proportional to 588.27, 811.83 and 326.27 is: 450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.27 : 811.83 = 326.27 : x
  2. Step 2: Convert to fraction form
    588.27/811.83 = 326.27/x
  3. Step 3: Cross multiply
    588.27x = 811.83 × 326.27
  4. Step 4: Simplify right side
    588.27x = 264,872.94
  5. Step 5: Solve for x
    x = 264,872.94/588.27
  6. Step 6: Final answer
    x = 450.26

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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.