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Finding the Fourth Proportional to 426.91, 588.44 and 333.49

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Solution

The fourth proportional to 426.91, 588.44 and 333.49 is: 459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.91 : 588.44 = 333.49 : x
  2. Step 2: Convert to fraction form
    426.91/588.44 = 333.49/x
  3. Step 3: Cross multiply
    426.91x = 588.44 × 333.49
  4. Step 4: Simplify right side
    426.91x = 196,240.42
  5. Step 5: Solve for x
    x = 196,240.42/426.91
  6. Step 6: Final answer
    x = 459.68

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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.