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Finding the Fourth Proportional to 426.32, 588.40 and 327.88

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Solution

The fourth proportional to 426.32, 588.40 and 327.88 is: 452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.32 : 588.40 = 327.88 : x
  2. Step 2: Convert to fraction form
    426.32/588.40 = 327.88/x
  3. Step 3: Cross multiply
    426.32x = 588.40 × 327.88
  4. Step 4: Simplify right side
    426.32x = 192,924.59
  5. Step 5: Solve for x
    x = 192,924.59/426.32
  6. Step 6: Final answer
    x = 452.53

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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.