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Finding the Fourth Proportional to 351.42, 484.74 and 233.34

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Solution

The fourth proportional to 351.42, 484.74 and 233.34 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 484.74 = 233.34 : x
  2. Step 2: Convert to fraction form
    351.42/484.74 = 233.34/x
  3. Step 3: Cross multiply
    351.42x = 484.74 × 233.34
  4. Step 4: Simplify right side
    351.42x = 113,109.23
  5. Step 5: Solve for x
    x = 113,109.23/351.42
  6. Step 6: Final answer
    x = 321.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.