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Finding the Fourth Proportional to 512.80, 707.63 and 288.73

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Solution

The fourth proportional to 512.80, 707.63 and 288.73 is: 398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 707.63 = 288.73 : x
  2. Step 2: Convert to fraction form
    512.80/707.63 = 288.73/x
  3. Step 3: Cross multiply
    512.80x = 707.63 × 288.73
  4. Step 4: Simplify right side
    512.80x = 204,309.47
  5. Step 5: Solve for x
    x = 204,309.47/512.80
  6. Step 6: Final answer
    x = 398.42

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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.