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Finding the Fourth Proportional to 589.80, 811.44 and 573.60

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Solution

The fourth proportional to 589.80, 811.44 and 573.60 is: 789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 811.44 = 573.60 : x
  2. Step 2: Convert to fraction form
    589.80/811.44 = 573.60/x
  3. Step 3: Cross multiply
    589.80x = 811.44 × 573.60
  4. Step 4: Simplify right side
    589.80x = 465,441.98
  5. Step 5: Solve for x
    x = 465,441.98/589.80
  6. Step 6: Final answer
    x = 789.15

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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.