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Finding the Fourth Proportional to 516.24, 770.88 and 406.80

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Solution

The fourth proportional to 516.24, 770.88 and 406.80 is: 607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 770.88 = 406.80 : x
  2. Step 2: Convert to fraction form
    516.24/770.88 = 406.80/x
  3. Step 3: Cross multiply
    516.24x = 770.88 × 406.80
  4. Step 4: Simplify right side
    516.24x = 313,593.98
  5. Step 5: Solve for x
    x = 313,593.98/516.24
  6. Step 6: Final answer
    x = 607.46

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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.