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Finding the Fourth Proportional to 516.13, 778.28 and 506.41

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Solution

The fourth proportional to 516.13, 778.28 and 506.41 is: 763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.13 : 778.28 = 506.41 : x
  2. Step 2: Convert to fraction form
    516.13/778.28 = 506.41/x
  3. Step 3: Cross multiply
    516.13x = 778.28 × 506.41
  4. Step 4: Simplify right side
    516.13x = 394,128.77
  5. Step 5: Solve for x
    x = 394,128.77/516.13
  6. Step 6: Final answer
    x = 763.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.