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Finding the Fourth Proportional to 335.23, 462.82 and 265.57

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Solution

The fourth proportional to 335.23, 462.82 and 265.57 is: 366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.23 : 462.82 = 265.57 : x
  2. Step 2: Convert to fraction form
    335.23/462.82 = 265.57/x
  3. Step 3: Cross multiply
    335.23x = 462.82 × 265.57
  4. Step 4: Simplify right side
    335.23x = 122,909.29
  5. Step 5: Solve for x
    x = 122,909.29/335.23
  6. Step 6: Final answer
    x = 366.64

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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.