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Finding the Fourth Proportional to 382.73, 528.14 and 216.93

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Solution

The fourth proportional to 382.73, 528.14 and 216.93 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.73 : 528.14 = 216.93 : x
  2. Step 2: Convert to fraction form
    382.73/528.14 = 216.93/x
  3. Step 3: Cross multiply
    382.73x = 528.14 × 216.93
  4. Step 4: Simplify right side
    382.73x = 114,568.33
  5. Step 5: Solve for x
    x = 114,568.33/382.73
  6. Step 6: Final answer
    x = 299.35

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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.