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Finding the Fourth Proportional to 513.50, 769.64 and 282.51

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Solution

The fourth proportional to 513.50, 769.64 and 282.51 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 769.64 = 282.51 : x
  2. Step 2: Convert to fraction form
    513.50/769.64 = 282.51/x
  3. Step 3: Cross multiply
    513.50x = 769.64 × 282.51
  4. Step 4: Simplify right side
    513.50x = 217,429.58
  5. Step 5: Solve for x
    x = 217,429.58/513.50
  6. Step 6: Final answer
    x = 423.43

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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.