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Finding the Fourth Proportional to 559.88, 839.61 and 194.57

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Solution

The fourth proportional to 559.88, 839.61 and 194.57 is: 291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.88 : 839.61 = 194.57 : x
  2. Step 2: Convert to fraction form
    559.88/839.61 = 194.57/x
  3. Step 3: Cross multiply
    559.88x = 839.61 × 194.57
  4. Step 4: Simplify right side
    559.88x = 163,358.72
  5. Step 5: Solve for x
    x = 163,358.72/559.88
  6. Step 6: Final answer
    x = 291.78

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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.