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Finding the Fourth Proportional to 571.81, 852.80 and 516.45

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Solution

The fourth proportional to 571.81, 852.80 and 516.45 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.81 : 852.80 = 516.45 : x
  2. Step 2: Convert to fraction form
    571.81/852.80 = 516.45/x
  3. Step 3: Cross multiply
    571.81x = 852.80 × 516.45
  4. Step 4: Simplify right side
    571.81x = 440,428.56
  5. Step 5: Solve for x
    x = 440,428.56/571.81
  6. Step 6: Final answer
    x = 770.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.