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Finding the Fourth Proportional to 513.46, 708.84 and 356.37

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Solution

The fourth proportional to 513.46, 708.84 and 356.37 is: 491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.46 : 708.84 = 356.37 : x
  2. Step 2: Convert to fraction form
    513.46/708.84 = 356.37/x
  3. Step 3: Cross multiply
    513.46x = 708.84 × 356.37
  4. Step 4: Simplify right side
    513.46x = 252,608.88
  5. Step 5: Solve for x
    x = 252,608.88/513.46
  6. Step 6: Final answer
    x = 491.97

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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.