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Finding the Fourth Proportional to 559.63, 839.49 and 194.41

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Solution

The fourth proportional to 559.63, 839.49 and 194.41 is: 291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.63 : 839.49 = 194.41 : x
  2. Step 2: Convert to fraction form
    559.63/839.49 = 194.41/x
  3. Step 3: Cross multiply
    559.63x = 839.49 × 194.41
  4. Step 4: Simplify right side
    559.63x = 163,205.25
  5. Step 5: Solve for x
    x = 163,205.25/559.63
  6. Step 6: Final answer
    x = 291.63

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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.