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Finding the Fourth Proportional to 559.57, 839.67 and 194.62

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Solution

The fourth proportional to 559.57, 839.67 and 194.62 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.57 : 839.67 = 194.62 : x
  2. Step 2: Convert to fraction form
    559.57/839.67 = 194.62/x
  3. Step 3: Cross multiply
    559.57x = 839.67 × 194.62
  4. Step 4: Simplify right side
    559.57x = 163,415.60
  5. Step 5: Solve for x
    x = 163,415.60/559.57
  6. Step 6: Final answer
    x = 292.04

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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.