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Finding the Fourth Proportional to 426.10, 588.16 and 327.72

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Solution

The fourth proportional to 426.10, 588.16 and 327.72 is: 452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.10 : 588.16 = 327.72 : x
  2. Step 2: Convert to fraction form
    426.10/588.16 = 327.72/x
  3. Step 3: Cross multiply
    426.10x = 588.16 × 327.72
  4. Step 4: Simplify right side
    426.10x = 192,751.80
  5. Step 5: Solve for x
    x = 192,751.80/426.10
  6. Step 6: Final answer
    x = 452.36

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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.