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Finding the Fourth Proportional to 594.50, 818.46 and 516.84

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Solution

The fourth proportional to 594.50, 818.46 and 516.84 is: 711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.50 : 818.46 = 516.84 : x
  2. Step 2: Convert to fraction form
    594.50/818.46 = 516.84/x
  3. Step 3: Cross multiply
    594.50x = 818.46 × 516.84
  4. Step 4: Simplify right side
    594.50x = 423,012.87
  5. Step 5: Solve for x
    x = 423,012.87/594.50
  6. Step 6: Final answer
    x = 711.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.