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Finding the Fourth Proportional to 516.83, 712.85 and 320.42

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Solution

The fourth proportional to 516.83, 712.85 and 320.42 is: 441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 712.85 = 320.42 : x
  2. Step 2: Convert to fraction form
    516.83/712.85 = 320.42/x
  3. Step 3: Cross multiply
    516.83x = 712.85 × 320.42
  4. Step 4: Simplify right side
    516.83x = 228,406.23
  5. Step 5: Solve for x
    x = 228,406.23/516.83
  6. Step 6: Final answer
    x = 441.94

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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.