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Finding the Fourth Proportional to 559.64, 838.78 and 194.22

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Solution

The fourth proportional to 559.64, 838.78 and 194.22 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.64 : 838.78 = 194.22 : x
  2. Step 2: Convert to fraction form
    559.64/838.78 = 194.22/x
  3. Step 3: Cross multiply
    559.64x = 838.78 × 194.22
  4. Step 4: Simplify right side
    559.64x = 162,907.37
  5. Step 5: Solve for x
    x = 162,907.37/559.64
  6. Step 6: Final answer
    x = 291.09

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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.