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Finding the Fourth Proportional to 559.74, 839.46 and 194.50

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Solution

The fourth proportional to 559.74, 839.46 and 194.50 is: 291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.74 : 839.46 = 194.50 : x
  2. Step 2: Convert to fraction form
    559.74/839.46 = 194.50/x
  3. Step 3: Cross multiply
    559.74x = 839.46 × 194.50
  4. Step 4: Simplify right side
    559.74x = 163,276.75
  5. Step 5: Solve for x
    x = 163,276.75/559.74
  6. Step 6: Final answer
    x = 291.70

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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.