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Finding the Fourth Proportional to 382.84, 528.32 and 217.05

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Solution

The fourth proportional to 382.84, 528.32 and 217.05 is: 299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 528.32 = 217.05 : x
  2. Step 2: Convert to fraction form
    382.84/528.32 = 217.05/x
  3. Step 3: Cross multiply
    382.84x = 528.32 × 217.05
  4. Step 4: Simplify right side
    382.84x = 114,671.86
  5. Step 5: Solve for x
    x = 114,671.86/382.84
  6. Step 6: Final answer
    x = 299.53

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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.