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Finding the Fourth Proportional to 426.49, 588.43 and 328.07

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Solution

The fourth proportional to 426.49, 588.43 and 328.07 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.49 : 588.43 = 328.07 : x
  2. Step 2: Convert to fraction form
    426.49/588.43 = 328.07/x
  3. Step 3: Cross multiply
    426.49x = 588.43 × 328.07
  4. Step 4: Simplify right side
    426.49x = 193,046.23
  5. Step 5: Solve for x
    x = 193,046.23/426.49
  6. Step 6: Final answer
    x = 452.64

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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.