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Finding the Fourth Proportional to 588.88, 814.26 and 579.60

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Solution

The fourth proportional to 588.88, 814.26 and 579.60 is: 801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.88 : 814.26 = 579.60 : x
  2. Step 2: Convert to fraction form
    588.88/814.26 = 579.60/x
  3. Step 3: Cross multiply
    588.88x = 814.26 × 579.60
  4. Step 4: Simplify right side
    588.88x = 471,945.10
  5. Step 5: Solve for x
    x = 471,945.10/588.88
  6. Step 6: Final answer
    x = 801.43

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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.