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Finding the Fourth Proportional to 389.94, 584.58 and 194.82

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Solution

The fourth proportional to 389.94, 584.58 and 194.82 is: 292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.94 : 584.58 = 194.82 : x
  2. Step 2: Convert to fraction form
    389.94/584.58 = 194.82/x
  3. Step 3: Cross multiply
    389.94x = 584.58 × 194.82
  4. Step 4: Simplify right side
    389.94x = 113,887.88
  5. Step 5: Solve for x
    x = 113,887.88/389.94
  6. Step 6: Final answer
    x = 292.07

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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.