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Finding the Fourth Proportional to 516.29, 713.48 and 377.15

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Solution

The fourth proportional to 516.29, 713.48 and 377.15 is: 521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 713.48 = 377.15 : x
  2. Step 2: Convert to fraction form
    516.29/713.48 = 377.15/x
  3. Step 3: Cross multiply
    516.29x = 713.48 × 377.15
  4. Step 4: Simplify right side
    516.29x = 269,083.53
  5. Step 5: Solve for x
    x = 269,083.53/516.29
  6. Step 6: Final answer
    x = 521.19

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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.