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Finding the Fourth Proportional to 517.96, 777.66 and 414.92

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Solution

The fourth proportional to 517.96, 777.66 and 414.92 is: 622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 777.66 = 414.92 : x
  2. Step 2: Convert to fraction form
    517.96/777.66 = 414.92/x
  3. Step 3: Cross multiply
    517.96x = 777.66 × 414.92
  4. Step 4: Simplify right side
    517.96x = 322,666.69
  5. Step 5: Solve for x
    x = 322,666.69/517.96
  6. Step 6: Final answer
    x = 622.96

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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.