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Finding the Fourth Proportional to 516.26, 712.65 and 320.06

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Solution

The fourth proportional to 516.26, 712.65 and 320.06 is: 441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.26 : 712.65 = 320.06 : x
  2. Step 2: Convert to fraction form
    516.26/712.65 = 320.06/x
  3. Step 3: Cross multiply
    516.26x = 712.65 × 320.06
  4. Step 4: Simplify right side
    516.26x = 228,090.76
  5. Step 5: Solve for x
    x = 228,090.76/516.26
  6. Step 6: Final answer
    x = 441.81

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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.