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Finding the Fourth Proportional to 426.80, 588.80 and 328.40

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Solution

The fourth proportional to 426.80, 588.80 and 328.40 is: 453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 588.80 = 328.40 : x
  2. Step 2: Convert to fraction form
    426.80/588.80 = 328.40/x
  3. Step 3: Cross multiply
    426.80x = 588.80 × 328.40
  4. Step 4: Simplify right side
    426.80x = 193,361.92
  5. Step 5: Solve for x
    x = 193,361.92/426.80
  6. Step 6: Final answer
    x = 453.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.