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Finding the Fourth Proportional to 516.36, 712.82 and 320

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Solution

The fourth proportional to 516.36, 712.82 and 320 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.36 : 712.82 = 320 : x
  2. Step 2: Convert to fraction form
    516.36/712.82 = 320/x
  3. Step 3: Cross multiply
    516.36x = 712.82 × 320
  4. Step 4: Simplify right side
    516.36x = 228,102.40
  5. Step 5: Solve for x
    x = 228,102.40/516.36
  6. Step 6: Final answer
    x = 441.75

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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.