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Finding the Fourth Proportional to 512.49, 769.55 and 293.79

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Solution

The fourth proportional to 512.49, 769.55 and 293.79 is: 441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.49 : 769.55 = 293.79 : x
  2. Step 2: Convert to fraction form
    512.49/769.55 = 293.79/x
  3. Step 3: Cross multiply
    512.49x = 769.55 × 293.79
  4. Step 4: Simplify right side
    512.49x = 226,084.63
  5. Step 5: Solve for x
    x = 226,084.63/512.49
  6. Step 6: Final answer
    x = 441.15

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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.