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Finding the Fourth Proportional to 513.38, 708.37 and 338.63

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Solution

The fourth proportional to 513.38, 708.37 and 338.63 is: 467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 708.37 = 338.63 : x
  2. Step 2: Convert to fraction form
    513.38/708.37 = 338.63/x
  3. Step 3: Cross multiply
    513.38x = 708.37 × 338.63
  4. Step 4: Simplify right side
    513.38x = 239,870.94
  5. Step 5: Solve for x
    x = 239,870.94/513.38
  6. Step 6: Final answer
    x = 467.24

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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.