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Finding the Fourth Proportional to 596.97, 888.23 and 582.09

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Solution

The fourth proportional to 596.97, 888.23 and 582.09 is: 866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.97 : 888.23 = 582.09 : x
  2. Step 2: Convert to fraction form
    596.97/888.23 = 582.09/x
  3. Step 3: Cross multiply
    596.97x = 888.23 × 582.09
  4. Step 4: Simplify right side
    596.97x = 517,031.26
  5. Step 5: Solve for x
    x = 517,031.26/596.97
  6. Step 6: Final answer
    x = 866.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.