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Finding the Fourth Proportional to 516.12, 712.92 and 406.98

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Solution

The fourth proportional to 516.12, 712.92 and 406.98 is: 562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.12 : 712.92 = 406.98 : x
  2. Step 2: Convert to fraction form
    516.12/712.92 = 406.98/x
  3. Step 3: Cross multiply
    516.12x = 712.92 × 406.98
  4. Step 4: Simplify right side
    516.12x = 290,144.18
  5. Step 5: Solve for x
    x = 290,144.18/516.12
  6. Step 6: Final answer
    x = 562.16

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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.