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Finding the Fourth Proportional to 510.29, 704.20 and 277.41

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Solution

The fourth proportional to 510.29, 704.20 and 277.41 is: 382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.29 : 704.20 = 277.41 : x
  2. Step 2: Convert to fraction form
    510.29/704.20 = 277.41/x
  3. Step 3: Cross multiply
    510.29x = 704.20 × 277.41
  4. Step 4: Simplify right side
    510.29x = 195,351.43
  5. Step 5: Solve for x
    x = 195,351.43/510.29
  6. Step 6: Final answer
    x = 382.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.