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Finding the Fourth Proportional to 513.54, 769.96 and 270.24

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Solution

The fourth proportional to 513.54, 769.96 and 270.24 is: 405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 769.96 = 270.24 : x
  2. Step 2: Convert to fraction form
    513.54/769.96 = 270.24/x
  3. Step 3: Cross multiply
    513.54x = 769.96 × 270.24
  4. Step 4: Simplify right side
    513.54x = 208,069.92
  5. Step 5: Solve for x
    x = 208,069.92/513.54
  6. Step 6: Final answer
    x = 405.17

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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.