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Finding the Fourth Proportional to 516.98, 712.77 and 423.38

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Solution

The fourth proportional to 516.98, 712.77 and 423.38 is: 583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 712.77 = 423.38 : x
  2. Step 2: Convert to fraction form
    516.98/712.77 = 423.38/x
  3. Step 3: Cross multiply
    516.98x = 712.77 × 423.38
  4. Step 4: Simplify right side
    516.98x = 301,772.56
  5. Step 5: Solve for x
    x = 301,772.56/516.98
  6. Step 6: Final answer
    x = 583.72

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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.