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Finding the Fourth Proportional to 588.25, 811.71 and 326.26

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Solution

The fourth proportional to 588.25, 811.71 and 326.26 is: 450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.25 : 811.71 = 326.26 : x
  2. Step 2: Convert to fraction form
    588.25/811.71 = 326.26/x
  3. Step 3: Cross multiply
    588.25x = 811.71 × 326.26
  4. Step 4: Simplify right side
    588.25x = 264,828.50
  5. Step 5: Solve for x
    x = 264,828.50/588.25
  6. Step 6: Final answer
    x = 450.20

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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.