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Finding the Fourth Proportional to 393.92, 590.64 and 174.43

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Solution

The fourth proportional to 393.92, 590.64 and 174.43 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.92 : 590.64 = 174.43 : x
  2. Step 2: Convert to fraction form
    393.92/590.64 = 174.43/x
  3. Step 3: Cross multiply
    393.92x = 590.64 × 174.43
  4. Step 4: Simplify right side
    393.92x = 103,025.94
  5. Step 5: Solve for x
    x = 103,025.94/393.92
  6. Step 6: Final answer
    x = 261.54

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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.