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Finding the Fourth Proportional to 513.14, 769.58 and 205.06

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Solution

The fourth proportional to 513.14, 769.58 and 205.06 is: 307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 769.58 = 205.06 : x
  2. Step 2: Convert to fraction form
    513.14/769.58 = 205.06/x
  3. Step 3: Cross multiply
    513.14x = 769.58 × 205.06
  4. Step 4: Simplify right side
    513.14x = 157,810.07
  5. Step 5: Solve for x
    x = 157,810.07/513.14
  6. Step 6: Final answer
    x = 307.54

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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.