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Finding the Fourth Proportional to 510, 764.12 and 336.56

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Solution

The fourth proportional to 510, 764.12 and 336.56 is: 504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 764.12 = 336.56 : x
  2. Step 2: Convert to fraction form
    510/764.12 = 336.56/x
  3. Step 3: Cross multiply
    510x = 764.12 × 336.56
  4. Step 4: Simplify right side
    510x = 257,172.23
  5. Step 5: Solve for x
    x = 257,172.23/510
  6. Step 6: Final answer
    x = 504.26

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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.