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Finding the Fourth Proportional to 389.21, 583.94 and 194.60

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Solution

The fourth proportional to 389.21, 583.94 and 194.60 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.21 : 583.94 = 194.60 : x
  2. Step 2: Convert to fraction form
    389.21/583.94 = 194.60/x
  3. Step 3: Cross multiply
    389.21x = 583.94 × 194.60
  4. Step 4: Simplify right side
    389.21x = 113,636.67
  5. Step 5: Solve for x
    x = 113,636.67/389.21
  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.