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Finding the Fourth Proportional to 389.27, 583.41 and 157.89

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Solution

The fourth proportional to 389.27, 583.41 and 157.89 is: 236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.27 : 583.41 = 157.89 : x
  2. Step 2: Convert to fraction form
    389.27/583.41 = 157.89/x
  3. Step 3: Cross multiply
    389.27x = 583.41 × 157.89
  4. Step 4: Simplify right side
    389.27x = 92,115.27
  5. Step 5: Solve for x
    x = 92,115.27/389.27
  6. Step 6: Final answer
    x = 236.63

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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.