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Finding the Fourth Proportional to 588.44, 884.26 and 566.84

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Solution

The fourth proportional to 588.44, 884.26 and 566.84 is: 851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 884.26 = 566.84 : x
  2. Step 2: Convert to fraction form
    588.44/884.26 = 566.84/x
  3. Step 3: Cross multiply
    588.44x = 884.26 × 566.84
  4. Step 4: Simplify right side
    588.44x = 501,233.94
  5. Step 5: Solve for x
    x = 501,233.94/588.44
  6. Step 6: Final answer
    x = 851.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.