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Finding the Fourth Proportional to 517.36, 713.92 and 284.48

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Solution

The fourth proportional to 517.36, 713.92 and 284.48 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.36 : 713.92 = 284.48 : x
  2. Step 2: Convert to fraction form
    517.36/713.92 = 284.48/x
  3. Step 3: Cross multiply
    517.36x = 713.92 × 284.48
  4. Step 4: Simplify right side
    517.36x = 203,095.96
  5. Step 5: Solve for x
    x = 203,095.96/517.36
  6. Step 6: Final answer
    x = 392.56

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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.