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Finding the Fourth Proportional to 588.21, 811.71 and 326.23

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Solution

The fourth proportional to 588.21, 811.71 and 326.23 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.21 : 811.71 = 326.23 : x
  2. Step 2: Convert to fraction form
    588.21/811.71 = 326.23/x
  3. Step 3: Cross multiply
    588.21x = 811.71 × 326.23
  4. Step 4: Simplify right side
    588.21x = 264,804.15
  5. Step 5: Solve for x
    x = 264,804.15/588.21
  6. Step 6: Final answer
    x = 450.19

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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.