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Finding the Fourth Proportional to 382.84, 527.97 and 258.27

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Solution

The fourth proportional to 382.84, 527.97 and 258.27 is: 356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 527.97 = 258.27 : x
  2. Step 2: Convert to fraction form
    382.84/527.97 = 258.27/x
  3. Step 3: Cross multiply
    382.84x = 527.97 × 258.27
  4. Step 4: Simplify right side
    382.84x = 136,359.78
  5. Step 5: Solve for x
    x = 136,359.78/382.84
  6. Step 6: Final answer
    x = 356.18

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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.