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Finding the Fourth Proportional to 513.31, 770.99 and 308.26

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Solution

The fourth proportional to 513.31, 770.99 and 308.26 is: 463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.31 : 770.99 = 308.26 : x
  2. Step 2: Convert to fraction form
    513.31/770.99 = 308.26/x
  3. Step 3: Cross multiply
    513.31x = 770.99 × 308.26
  4. Step 4: Simplify right side
    513.31x = 237,665.38
  5. Step 5: Solve for x
    x = 237,665.38/513.31
  6. Step 6: Final answer
    x = 463.01

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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.