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Finding the Fourth Proportional to 335.05, 462.36 and 204.07

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Solution

The fourth proportional to 335.05, 462.36 and 204.07 is: 281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.05 : 462.36 = 204.07 : x
  2. Step 2: Convert to fraction form
    335.05/462.36 = 204.07/x
  3. Step 3: Cross multiply
    335.05x = 462.36 × 204.07
  4. Step 4: Simplify right side
    335.05x = 94,353.81
  5. Step 5: Solve for x
    x = 94,353.81/335.05
  6. Step 6: Final answer
    x = 281.61

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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.