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Finding the Fourth Proportional to 516.17, 770.92 and 467.32

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Solution

The fourth proportional to 516.17, 770.92 and 467.32 is: 697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.17 : 770.92 = 467.32 : x
  2. Step 2: Convert to fraction form
    516.17/770.92 = 467.32/x
  3. Step 3: Cross multiply
    516.17x = 770.92 × 467.32
  4. Step 4: Simplify right side
    516.17x = 360,266.33
  5. Step 5: Solve for x
    x = 360,266.33/516.17
  6. Step 6: Final answer
    x = 697.96

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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.