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Finding the Fourth Proportional to 382.77, 528.19 and 217

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Solution

The fourth proportional to 382.77, 528.19 and 217 is: 299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 528.19 = 217 : x
  2. Step 2: Convert to fraction form
    382.77/528.19 = 217/x
  3. Step 3: Cross multiply
    382.77x = 528.19 × 217
  4. Step 4: Simplify right side
    382.77x = 114,617.23
  5. Step 5: Solve for x
    x = 114,617.23/382.77
  6. Step 6: Final answer
    x = 299.44

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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.