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Finding the Fourth Proportional to 516.42, 712.17 and 411.85

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Solution

The fourth proportional to 516.42, 712.17 and 411.85 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.42 : 712.17 = 411.85 : x
  2. Step 2: Convert to fraction form
    516.42/712.17 = 411.85/x
  3. Step 3: Cross multiply
    516.42x = 712.17 × 411.85
  4. Step 4: Simplify right side
    516.42x = 293,307.21
  5. Step 5: Solve for x
    x = 293,307.21/516.42
  6. Step 6: Final answer
    x = 567.96

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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.