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Finding the Fourth Proportional to 394.96, 592.46 and 121.07

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Solution

The fourth proportional to 394.96, 592.46 and 121.07 is: 181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.96 : 592.46 = 121.07 : x
  2. Step 2: Convert to fraction form
    394.96/592.46 = 121.07/x
  3. Step 3: Cross multiply
    394.96x = 592.46 × 121.07
  4. Step 4: Simplify right side
    394.96x = 71,729.13
  5. Step 5: Solve for x
    x = 71,729.13/394.96
  6. Step 6: Final answer
    x = 181.61

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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.