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Finding the Fourth Proportional to 579.98, 869.84 and 189.92

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Solution

The fourth proportional to 579.98, 869.84 and 189.92 is: 284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.98 : 869.84 = 189.92 : x
  2. Step 2: Convert to fraction form
    579.98/869.84 = 189.92/x
  3. Step 3: Cross multiply
    579.98x = 869.84 × 189.92
  4. Step 4: Simplify right side
    579.98x = 165,200.01
  5. Step 5: Solve for x
    x = 165,200.01/579.98
  6. Step 6: Final answer
    x = 284.84

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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.