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Finding the Fourth Proportional to 513.91, 708.72 and 348.37

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Solution

The fourth proportional to 513.91, 708.72 and 348.37 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.91 : 708.72 = 348.37 : x
  2. Step 2: Convert to fraction form
    513.91/708.72 = 348.37/x
  3. Step 3: Cross multiply
    513.91x = 708.72 × 348.37
  4. Step 4: Simplify right side
    513.91x = 246,896.79
  5. Step 5: Solve for x
    x = 246,896.79/513.91
  6. Step 6: Final answer
    x = 480.43

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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.