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Finding the Fourth Proportional to 588.26, 811.81 and 326.32

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Solution

The fourth proportional to 588.26, 811.81 and 326.32 is: 450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.26 : 811.81 = 326.32 : x
  2. Step 2: Convert to fraction form
    588.26/811.81 = 326.32/x
  3. Step 3: Cross multiply
    588.26x = 811.81 × 326.32
  4. Step 4: Simplify right side
    588.26x = 264,909.84
  5. Step 5: Solve for x
    x = 264,909.84/588.26
  6. Step 6: Final answer
    x = 450.33

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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.