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Finding the Fourth Proportional to 513.70, 769.02 and 330.46

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Solution

The fourth proportional to 513.70, 769.02 and 330.46 is: 494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.70 : 769.02 = 330.46 : x
  2. Step 2: Convert to fraction form
    513.70/769.02 = 330.46/x
  3. Step 3: Cross multiply
    513.70x = 769.02 × 330.46
  4. Step 4: Simplify right side
    513.70x = 254,130.35
  5. Step 5: Solve for x
    x = 254,130.35/513.70
  6. Step 6: Final answer
    x = 494.71

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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.