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Finding the Fourth Proportional to 516.24, 770.31 and 461.76

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Solution

The fourth proportional to 516.24, 770.31 and 461.76 is: 689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 770.31 = 461.76 : x
  2. Step 2: Convert to fraction form
    516.24/770.31 = 461.76/x
  3. Step 3: Cross multiply
    516.24x = 770.31 × 461.76
  4. Step 4: Simplify right side
    516.24x = 355,698.35
  5. Step 5: Solve for x
    x = 355,698.35/516.24
  6. Step 6: Final answer
    x = 689.02

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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.