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Finding the Fourth Proportional to 382.59, 527.09 and 316.89

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Solution

The fourth proportional to 382.59, 527.09 and 316.89 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.59 : 527.09 = 316.89 : x
  2. Step 2: Convert to fraction form
    382.59/527.09 = 316.89/x
  3. Step 3: Cross multiply
    382.59x = 527.09 × 316.89
  4. Step 4: Simplify right side
    382.59x = 167,027.97
  5. Step 5: Solve for x
    x = 167,027.97/382.59
  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.