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Finding the Fourth Proportional to 559.74, 839 and 194.24

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Solution

The fourth proportional to 559.74, 839 and 194.24 is: 291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.74 : 839 = 194.24 : x
  2. Step 2: Convert to fraction form
    559.74/839 = 194.24/x
  3. Step 3: Cross multiply
    559.74x = 839 × 194.24
  4. Step 4: Simplify right side
    559.74x = 162,967.36
  5. Step 5: Solve for x
    x = 162,967.36/559.74
  6. Step 6: Final answer
    x = 291.15

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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.