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Finding the Fourth Proportional to 516.92, 775.70 and 463.80

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Solution

The fourth proportional to 516.92, 775.70 and 463.80 is: 695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 775.70 = 463.80 : x
  2. Step 2: Convert to fraction form
    516.92/775.70 = 463.80/x
  3. Step 3: Cross multiply
    516.92x = 775.70 × 463.80
  4. Step 4: Simplify right side
    516.92x = 359,769.66
  5. Step 5: Solve for x
    x = 359,769.66/516.92
  6. Step 6: Final answer
    x = 695.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.