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Finding the Fourth Proportional to 513.41, 708.35 and 289.31

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Solution

The fourth proportional to 513.41, 708.35 and 289.31 is: 399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.41 : 708.35 = 289.31 : x
  2. Step 2: Convert to fraction form
    513.41/708.35 = 289.31/x
  3. Step 3: Cross multiply
    513.41x = 708.35 × 289.31
  4. Step 4: Simplify right side
    513.41x = 204,927.75
  5. Step 5: Solve for x
    x = 204,927.75/513.41
  6. Step 6: Final answer
    x = 399.15

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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.