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Finding the Fourth Proportional to 517.35, 713.97 and 284.49

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Solution

The fourth proportional to 517.35, 713.97 and 284.49 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.35 : 713.97 = 284.49 : x
  2. Step 2: Convert to fraction form
    517.35/713.97 = 284.49/x
  3. Step 3: Cross multiply
    517.35x = 713.97 × 284.49
  4. Step 4: Simplify right side
    517.35x = 203,117.33
  5. Step 5: Solve for x
    x = 203,117.33/517.35
  6. Step 6: Final answer
    x = 392.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.