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Finding the Fourth Proportional to 335.28, 462.34 and 265.22

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Solution

The fourth proportional to 335.28, 462.34 and 265.22 is: 365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.28 : 462.34 = 265.22 : x
  2. Step 2: Convert to fraction form
    335.28/462.34 = 265.22/x
  3. Step 3: Cross multiply
    335.28x = 462.34 × 265.22
  4. Step 4: Simplify right side
    335.28x = 122,621.81
  5. Step 5: Solve for x
    x = 122,621.81/335.28
  6. Step 6: Final answer
    x = 365.73

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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.