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Finding the Fourth Proportional to 604.53, 905.47 and 516.85

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Solution

The fourth proportional to 604.53, 905.47 and 516.85 is: 774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.53 : 905.47 = 516.85 : x
  2. Step 2: Convert to fraction form
    604.53/905.47 = 516.85/x
  3. Step 3: Cross multiply
    604.53x = 905.47 × 516.85
  4. Step 4: Simplify right side
    604.53x = 467,988.61
  5. Step 5: Solve for x
    x = 467,988.61/604.53
  6. Step 6: Final answer
    x = 774.14

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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.