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Finding the Fourth Proportional to 516.16, 712.29 and 411.07

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Solution

The fourth proportional to 516.16, 712.29 and 411.07 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 712.29 = 411.07 : x
  2. Step 2: Convert to fraction form
    516.16/712.29 = 411.07/x
  3. Step 3: Cross multiply
    516.16x = 712.29 × 411.07
  4. Step 4: Simplify right side
    516.16x = 292,801.05
  5. Step 5: Solve for x
    x = 292,801.05/516.16
  6. Step 6: Final answer
    x = 567.27

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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.