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Finding the Fourth Proportional to 516.37, 712.23 and 319.77

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Solution

The fourth proportional to 516.37, 712.23 and 319.77 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.37 : 712.23 = 319.77 : x
  2. Step 2: Convert to fraction form
    516.37/712.23 = 319.77/x
  3. Step 3: Cross multiply
    516.37x = 712.23 × 319.77
  4. Step 4: Simplify right side
    516.37x = 227,746.23
  5. Step 5: Solve for x
    x = 227,746.23/516.37
  6. Step 6: Final answer
    x = 441.05

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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.