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Finding the Fourth Proportional to 510.26, 764.87 and 314.73

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Solution

The fourth proportional to 510.26, 764.87 and 314.73 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 764.87 = 314.73 : x
  2. Step 2: Convert to fraction form
    510.26/764.87 = 314.73/x
  3. Step 3: Cross multiply
    510.26x = 764.87 × 314.73
  4. Step 4: Simplify right side
    510.26x = 240,725.96
  5. Step 5: Solve for x
    x = 240,725.96/510.26
  6. Step 6: Final answer
    x = 471.78

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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.