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Finding the Fourth Proportional to 382.75, 528.22 and 316.34

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Solution

The fourth proportional to 382.75, 528.22 and 316.34 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 528.22 = 316.34 : x
  2. Step 2: Convert to fraction form
    382.75/528.22 = 316.34/x
  3. Step 3: Cross multiply
    382.75x = 528.22 × 316.34
  4. Step 4: Simplify right side
    382.75x = 167,099.08
  5. Step 5: Solve for x
    x = 167,099.08/382.75
  6. Step 6: Final answer
    x = 436.57

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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.