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Finding the Fourth Proportional to 335.32, 462.57 and 223.48

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Solution

The fourth proportional to 335.32, 462.57 and 223.48 is: 308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.32 : 462.57 = 223.48 : x
  2. Step 2: Convert to fraction form
    335.32/462.57 = 223.48/x
  3. Step 3: Cross multiply
    335.32x = 462.57 × 223.48
  4. Step 4: Simplify right side
    335.32x = 103,375.14
  5. Step 5: Solve for x
    x = 103,375.14/335.32
  6. Step 6: Final answer
    x = 308.29

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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.