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Finding the Fourth Proportional to 559.85, 839.80 and 194.64

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Solution

The fourth proportional to 559.85, 839.80 and 194.64 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.85 : 839.80 = 194.64 : x
  2. Step 2: Convert to fraction form
    559.85/839.80 = 194.64/x
  3. Step 3: Cross multiply
    559.85x = 839.80 × 194.64
  4. Step 4: Simplify right side
    559.85x = 163,458.67
  5. Step 5: Solve for x
    x = 163,458.67/559.85
  6. Step 6: Final answer
    x = 291.97

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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.