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Finding the Fourth Proportional to 389.92, 585.73 and 235.94

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Solution

The fourth proportional to 389.92, 585.73 and 235.94 is: 354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.92 : 585.73 = 235.94 : x
  2. Step 2: Convert to fraction form
    389.92/585.73 = 235.94/x
  3. Step 3: Cross multiply
    389.92x = 585.73 × 235.94
  4. Step 4: Simplify right side
    389.92x = 138,193.62
  5. Step 5: Solve for x
    x = 138,193.62/389.92
  6. Step 6: Final answer
    x = 354.41

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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.