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Finding the Fourth Proportional to 516.20, 712.74 and 361.16

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Solution

The fourth proportional to 516.20, 712.74 and 361.16 is: 498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 712.74 = 361.16 : x
  2. Step 2: Convert to fraction form
    516.20/712.74 = 361.16/x
  3. Step 3: Cross multiply
    516.20x = 712.74 × 361.16
  4. Step 4: Simplify right side
    516.20x = 257,413.18
  5. Step 5: Solve for x
    x = 257,413.18/516.20
  6. Step 6: Final answer
    x = 498.67

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Why These Related Problems?

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