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Finding the Fourth Proportional to 516.47, 778.24 and 427.17

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Solution

The fourth proportional to 516.47, 778.24 and 427.17 is: 643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.47 : 778.24 = 427.17 : x
  2. Step 2: Convert to fraction form
    516.47/778.24 = 427.17/x
  3. Step 3: Cross multiply
    516.47x = 778.24 × 427.17
  4. Step 4: Simplify right side
    516.47x = 332,440.78
  5. Step 5: Solve for x
    x = 332,440.78/516.47
  6. Step 6: Final answer
    x = 643.68

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Why These Related Problems?

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