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Finding the Fourth Proportional to 559.86, 839.90 and 189.62

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Solution

The fourth proportional to 559.86, 839.90 and 189.62 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 839.90 = 189.62 : x
  2. Step 2: Convert to fraction form
    559.86/839.90 = 189.62/x
  3. Step 3: Cross multiply
    559.86x = 839.90 × 189.62
  4. Step 4: Simplify right side
    559.86x = 159,260.89
  5. Step 5: Solve for x
    x = 159,260.89/559.86
  6. Step 6: Final answer
    x = 284.47

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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.