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Finding the Fourth Proportional to 517.95, 777.33 and 445.66

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Solution

The fourth proportional to 517.95, 777.33 and 445.66 is: 668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 777.33 = 445.66 : x
  2. Step 2: Convert to fraction form
    517.95/777.33 = 445.66/x
  3. Step 3: Cross multiply
    517.95x = 777.33 × 445.66
  4. Step 4: Simplify right side
    517.95x = 346,422.94
  5. Step 5: Solve for x
    x = 346,422.94/517.95
  6. Step 6: Final answer
    x = 668.83

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