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Finding the Fourth Proportional to 516.38, 712.53 and 406.08

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Solution

The fourth proportional to 516.38, 712.53 and 406.08 is: 560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 712.53 = 406.08 : x
  2. Step 2: Convert to fraction form
    516.38/712.53 = 406.08/x
  3. Step 3: Cross multiply
    516.38x = 712.53 × 406.08
  4. Step 4: Simplify right side
    516.38x = 289,344.18
  5. Step 5: Solve for x
    x = 289,344.18/516.38
  6. Step 6: Final answer
    x = 560.34

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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.