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Finding the Fourth Proportional to 382.73, 529.56 and 333.71

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Solution

The fourth proportional to 382.73, 529.56 and 333.71 is: 461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.73 : 529.56 = 333.71 : x
  2. Step 2: Convert to fraction form
    382.73/529.56 = 333.71/x
  3. Step 3: Cross multiply
    382.73x = 529.56 × 333.71
  4. Step 4: Simplify right side
    382.73x = 176,719.47
  5. Step 5: Solve for x
    x = 176,719.47/382.73
  6. Step 6: Final answer
    x = 461.73

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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.