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Finding the Fourth Proportional to 588.26, 811.82 and 355.25

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Solution

The fourth proportional to 588.26, 811.82 and 355.25 is: 490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.26 : 811.82 = 355.25 : x
  2. Step 2: Convert to fraction form
    588.26/811.82 = 355.25/x
  3. Step 3: Cross multiply
    588.26x = 811.82 × 355.25
  4. Step 4: Simplify right side
    588.26x = 288,399.06
  5. Step 5: Solve for x
    x = 288,399.06/588.26
  6. Step 6: Final answer
    x = 490.26

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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.