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Finding the Fourth Proportional to 335.23, 462.62 and 204.24

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Solution

The fourth proportional to 335.23, 462.62 and 204.24 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.23 : 462.62 = 204.24 : x
  2. Step 2: Convert to fraction form
    335.23/462.62 = 204.24/x
  3. Step 3: Cross multiply
    335.23x = 462.62 × 204.24
  4. Step 4: Simplify right side
    335.23x = 94,485.51
  5. Step 5: Solve for x
    x = 94,485.51/335.23
  6. Step 6: Final answer
    x = 281.85

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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.