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Finding the Fourth Proportional to 382.25, 527.29 and 257.69

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Solution

The fourth proportional to 382.25, 527.29 and 257.69 is: 355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 527.29 = 257.69 : x
  2. Step 2: Convert to fraction form
    382.25/527.29 = 257.69/x
  3. Step 3: Cross multiply
    382.25x = 527.29 × 257.69
  4. Step 4: Simplify right side
    382.25x = 135,877.36
  5. Step 5: Solve for x
    x = 135,877.36/382.25
  6. Step 6: Final answer
    x = 355.47

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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.