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Finding the Fourth Proportional to 513.06, 708.09 and 382.44

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Solution

The fourth proportional to 513.06, 708.09 and 382.44 is: 527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.06 : 708.09 = 382.44 : x
  2. Step 2: Convert to fraction form
    513.06/708.09 = 382.44/x
  3. Step 3: Cross multiply
    513.06x = 708.09 × 382.44
  4. Step 4: Simplify right side
    513.06x = 270,801.94
  5. Step 5: Solve for x
    x = 270,801.94/513.06
  6. Step 6: Final answer
    x = 527.82

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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.