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Finding the Fourth Proportional to 559.76, 838.97 and 194.35

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Solution

The fourth proportional to 559.76, 838.97 and 194.35 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.76 : 838.97 = 194.35 : x
  2. Step 2: Convert to fraction form
    559.76/838.97 = 194.35/x
  3. Step 3: Cross multiply
    559.76x = 838.97 × 194.35
  4. Step 4: Simplify right side
    559.76x = 163,049.62
  5. Step 5: Solve for x
    x = 163,049.62/559.76
  6. Step 6: Final answer
    x = 291.28

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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.