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Finding the Fourth Proportional to 588.39, 812 and 326.41

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Solution

The fourth proportional to 588.39, 812 and 326.41 is: 450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.39 : 812 = 326.41 : x
  2. Step 2: Convert to fraction form
    588.39/812 = 326.41/x
  3. Step 3: Cross multiply
    588.39x = 812 × 326.41
  4. Step 4: Simplify right side
    588.39x = 265,044.92
  5. Step 5: Solve for x
    x = 265,044.92/588.39
  6. Step 6: Final answer
    x = 450.46

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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.