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Finding the Fourth Proportional to 513.00, 769.42 and 204.77

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Solution

The fourth proportional to 513.00, 769.42 and 204.77 is: 307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.00 : 769.42 = 204.77 : x
  2. Step 2: Convert to fraction form
    513.00/769.42 = 204.77/x
  3. Step 3: Cross multiply
    513.00x = 769.42 × 204.77
  4. Step 4: Simplify right side
    513.00x = 157,555.05
  5. Step 5: Solve for x
    x = 157,555.05/513.00
  6. Step 6: Final answer
    x = 307.12

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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.