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Finding the Fourth Proportional to 611.90, 845.28 and 589.44

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Solution

The fourth proportional to 611.90, 845.28 and 589.44 is: 814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.90 : 845.28 = 589.44 : x
  2. Step 2: Convert to fraction form
    611.90/845.28 = 589.44/x
  3. Step 3: Cross multiply
    611.90x = 845.28 × 589.44
  4. Step 4: Simplify right side
    611.90x = 498,241.84
  5. Step 5: Solve for x
    x = 498,241.84/611.90
  6. Step 6: Final answer
    x = 814.26

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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.