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Finding the Fourth Proportional to 512.83, 769.34 and 188.43

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Solution

The fourth proportional to 512.83, 769.34 and 188.43 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.83 : 769.34 = 188.43 : x
  2. Step 2: Convert to fraction form
    512.83/769.34 = 188.43/x
  3. Step 3: Cross multiply
    512.83x = 769.34 × 188.43
  4. Step 4: Simplify right side
    512.83x = 144,966.74
  5. Step 5: Solve for x
    x = 144,966.74/512.83
  6. Step 6: Final answer
    x = 282.68

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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.