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Finding the Fourth Proportional to 426.68, 588.96 and 261.03

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Solution

The fourth proportional to 426.68, 588.96 and 261.03 is: 360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.68 : 588.96 = 261.03 : x
  2. Step 2: Convert to fraction form
    426.68/588.96 = 261.03/x
  3. Step 3: Cross multiply
    426.68x = 588.96 × 261.03
  4. Step 4: Simplify right side
    426.68x = 153,736.23
  5. Step 5: Solve for x
    x = 153,736.23/426.68
  6. Step 6: Final answer
    x = 360.31

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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.