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Finding the Fourth Proportional to 513.14, 771.09 and 307.79

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Solution

The fourth proportional to 513.14, 771.09 and 307.79 is: 462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 771.09 = 307.79 : x
  2. Step 2: Convert to fraction form
    513.14/771.09 = 307.79/x
  3. Step 3: Cross multiply
    513.14x = 771.09 × 307.79
  4. Step 4: Simplify right side
    513.14x = 237,333.79
  5. Step 5: Solve for x
    x = 237,333.79/513.14
  6. Step 6: Final answer
    x = 462.51

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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.