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Finding the Fourth Proportional to 571.39, 852.32 and 516.67

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Solution

The fourth proportional to 571.39, 852.32 and 516.67 is: 770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.39 : 852.32 = 516.67 : x
  2. Step 2: Convert to fraction form
    571.39/852.32 = 516.67/x
  3. Step 3: Cross multiply
    571.39x = 852.32 × 516.67
  4. Step 4: Simplify right side
    571.39x = 440,368.17
  5. Step 5: Solve for x
    x = 440,368.17/571.39
  6. Step 6: Final answer
    x = 770.70

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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.