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Finding the Fourth Proportional to 335.09, 462.63 and 265.43

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Solution

The fourth proportional to 335.09, 462.63 and 265.43 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.09 : 462.63 = 265.43 : x
  2. Step 2: Convert to fraction form
    335.09/462.63 = 265.43/x
  3. Step 3: Cross multiply
    335.09x = 462.63 × 265.43
  4. Step 4: Simplify right side
    335.09x = 122,795.88
  5. Step 5: Solve for x
    x = 122,795.88/335.09
  6. Step 6: Final answer
    x = 366.46

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