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Finding the Fourth Proportional to 516.92, 712.74 and 423.32

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Solution

The fourth proportional to 516.92, 712.74 and 423.32 is: 583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 712.74 = 423.32 : x
  2. Step 2: Convert to fraction form
    516.92/712.74 = 423.32/x
  3. Step 3: Cross multiply
    516.92x = 712.74 × 423.32
  4. Step 4: Simplify right side
    516.92x = 301,717.10
  5. Step 5: Solve for x
    x = 301,717.10/516.92
  6. Step 6: Final answer
    x = 583.68

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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.