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Finding the Fourth Proportional to 512.96, 769.36 and 282.10

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Solution

The fourth proportional to 512.96, 769.36 and 282.10 is: 423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 769.36 = 282.10 : x
  2. Step 2: Convert to fraction form
    512.96/769.36 = 282.10/x
  3. Step 3: Cross multiply
    512.96x = 769.36 × 282.10
  4. Step 4: Simplify right side
    512.96x = 217,036.46
  5. Step 5: Solve for x
    x = 217,036.46/512.96
  6. Step 6: Final answer
    x = 423.11

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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.