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Finding the Fourth Proportional to 516.99, 773.76 and 282.40

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Solution

The fourth proportional to 516.99, 773.76 and 282.40 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.99 : 773.76 = 282.40 : x
  2. Step 2: Convert to fraction form
    516.99/773.76 = 282.40/x
  3. Step 3: Cross multiply
    516.99x = 773.76 × 282.40
  4. Step 4: Simplify right side
    516.99x = 218,509.82
  5. Step 5: Solve for x
    x = 218,509.82/516.99
  6. Step 6: Final answer
    x = 422.66

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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.