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Finding the Fourth Proportional to 426.33, 588.04 and 412.04

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Solution

The fourth proportional to 426.33, 588.04 and 412.04 is: 568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.33 : 588.04 = 412.04 : x
  2. Step 2: Convert to fraction form
    426.33/588.04 = 412.04/x
  3. Step 3: Cross multiply
    426.33x = 588.04 × 412.04
  4. Step 4: Simplify right side
    426.33x = 242,293.94
  5. Step 5: Solve for x
    x = 242,293.94/426.33
  6. Step 6: Final answer
    x = 568.33

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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.