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Finding the Fourth Proportional to 516.31, 771.61 and 504.16

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Solution

The fourth proportional to 516.31, 771.61 and 504.16 is: 753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.31 : 771.61 = 504.16 : x
  2. Step 2: Convert to fraction form
    516.31/771.61 = 504.16/x
  3. Step 3: Cross multiply
    516.31x = 771.61 × 504.16
  4. Step 4: Simplify right side
    516.31x = 389,014.90
  5. Step 5: Solve for x
    x = 389,014.90/516.31
  6. Step 6: Final answer
    x = 753.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.