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Finding the Fourth Proportional to 426.00, 588.16 and 326.23

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Solution

The fourth proportional to 426.00, 588.16 and 326.23 is: 450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.00 : 588.16 = 326.23 : x
  2. Step 2: Convert to fraction form
    426.00/588.16 = 326.23/x
  3. Step 3: Cross multiply
    426.00x = 588.16 × 326.23
  4. Step 4: Simplify right side
    426.00x = 191,879.69
  5. Step 5: Solve for x
    x = 191,879.69/426.00
  6. Step 6: Final answer
    x = 450.43

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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.