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Finding the Fourth Proportional to 512.71, 769.26 and 188.30

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Solution

The fourth proportional to 512.71, 769.26 and 188.30 is: 282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.71 : 769.26 = 188.30 : x
  2. Step 2: Convert to fraction form
    512.71/769.26 = 188.30/x
  3. Step 3: Cross multiply
    512.71x = 769.26 × 188.30
  4. Step 4: Simplify right side
    512.71x = 144,851.66
  5. Step 5: Solve for x
    x = 144,851.66/512.71
  6. Step 6: Final answer
    x = 282.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.